Details

analyze260.0ms

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

sample43.0ms

Algorithm

intervals

Results

14.0ms	154×	body	160	valid
8.0ms	283×	pre	80	true
7.0ms	50×	body	320	valid
2.0ms	52×	body	80	valid
1.0ms	27×	body	80	nan

simplify181.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (179.0ms)

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	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 45.0b

Counts

2 → 1

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* b b) (* 3.0 (* a c)))
0.3b	(/ (- (sqrt (- (* b b) (* 3.0 (* a c)))) b) (* 3.0 a))
0.3b	(* 3.0 (* a c))
38.7b	(- (sqrt (- (* b b) (* 3.0 (* a c)))) b)

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
14×	`add-exp-log` `add-cbrt-cube`
13×	`*-un-lft-identity`
9×	`pow1`
8×	`add-log-exp`
7×	`add-cube-cbrt`
6×	`times-frac` `associate-/l*` `difference-of-squares`
4×	`prod-exp` `cbrt-unprod`
3×	`flip3--` `associate-l` `pow-prod-down` `sqrt-prod` `flip--` `distribute-lft-out--`
2×	`cbrt-undiv` `sub-neg` `diff-log` `div-exp` `associate-/l/`
1×	`frac-2neg` `div-sub` `associate-r` `clear-num` `associate-/r` `-commutative` `div-inv`

Counts

4 → 73

Calls

4 calls:

4.0ms	(- (* b b) (* 3.0 (* a c)))
11.0ms	(/ (- (sqrt (- (* b b) (* 3.0 (* a c)))) b) (* 3.0 a))
5.0ms	(* 3.0 (* a c))
8.0ms	(- (sqrt (- (* b b) (* 3.0 (* a c)))) b)

series54.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(- (* b b) (* 3.0 (* a c)))
25.0ms	(/ (- (sqrt (- (* b b) (* 3.0 (* a c)))) b) (* 3.0 a))
3.0ms	(* 3.0 (* a c))
15.0ms	(- (sqrt (- (* b b) (* 3.0 (* a c)))) b)

simplify47.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5461	1199

prune128.0ms

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: 0.2b

Counts

86 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b	(* 3.0 (* a c))
0.3b	(* 3.0 (* a (neg c)))
0.3b	(/ (* 3.0 (* a (neg c))) (+ b (sqrt (- (* b b) (* 3.0 (* a c))))))
0.4b	(/ (/ (* 3.0 (* a (neg c))) (+ 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`
22×	`times-frac`
20×	`*-un-lft-identity`
19×	`prod-exp` `cbrt-unprod`
17×	`cbrt-undiv` `div-exp`
14×	`pow1`
12×	`add-sqr-sqrt` `add-cube-cbrt`
11×	`associate-/l*`
6×	`associate-l` `pow-prod-down` `associate-/r/` `distribute-rgt-neg-out`
5×	`associate-/r*`
4×	`div-inv` `distribute-lft-out` `add-log-exp`
3×	`flip3-+` `distribute-frac-neg` `flip-+`
2×	`frac-2neg` `associate-r` `clear-num` `*-commutative`
1×	`associate-/l/`

Counts

4 → 114

Calls

4 calls:

5.0ms	(* 3.0 (* a c))
5.0ms	(* 3.0 (* a (neg c)))
12.0ms	(/ (* 3.0 (* a (neg c))) (+ b (sqrt (- (* b b) (* 3.0 (* a c))))))
14.0ms	(/ (/ (* 3.0 (* a (neg c))) (+ b (sqrt (- (* b b) (* 3.0 (* a c)))))) (* 3.0 a))

series105.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* 3.0 (* a c))
4.0ms	(* 3.0 (* a (neg c)))
55.0ms	(/ (* 3.0 (* a (neg c))) (+ b (sqrt (- (* b b) (* 3.0 (* a c))))))
43.0ms	(/ (/ (* 3.0 (* a (neg c))) (+ b (sqrt (- (* b b) (* 3.0 (* a c)))))) (* 3.0 a))

simplify51.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4983	1982
1	4983	1982

prune179.0ms

Filtered

76 candidates to 126 candidates (-65.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	118	8	126
Fresh	4	0	4
Picked	1	0	1
Done	0	0	0
Total	123	8	131

Merged error: 0.0b

Counts

131 → 8

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 135

Calls

4 calls:

4.0ms	(- (* b b) (* 3.0 (* a c)))
18.0ms	(* (+ b (sqrt (- (* b b) (* 3.0 (* a c))))) (/ 1 (neg c)))
14.0ms	(/ 1 (* (+ b (sqrt (- (* b b) (* 3.0 (* a c))))) (/ 1 (neg c))))
5.0ms	(* 3.0 (* a c))

series64.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(- (* b b) (* 3.0 (* a c)))
18.0ms	(* (+ b (sqrt (- (* b b) (* 3.0 (* a c))))) (/ 1 (neg c)))
34.0ms	(/ 1 (* (+ b (sqrt (- (* b b) (* 3.0 (* a c))))) (/ 1 (neg c))))
4.0ms	(* 3.0 (* a c))

simplify51.0ms

Algorithm

egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4995	2137
1	4995	2137

prune195.0ms

Filtered

90 candidates to 147 candidates (-63.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	145	2	147
Fresh	1	6	7
Picked	0	1	1
Done	0	0	0
Total	146	9	155

Merged error: 0b

Counts

155 → 9

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 126

Calls

4 calls:

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

series64.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(- (* b b) (* 3.0 (* a c)))
32.0ms	(/ (/ 3.0 1) (* (+ b (sqrt (- (* b b) (* 3.0 (* a c))))) (* 1 (/ 3.0 (neg c)))))
3.0ms	(* 3.0 (* a c))
20.0ms	(* (+ b (sqrt (- (* b b) (* 3.0 (* a c))))) (* 1 (/ 3.0 (neg c))))

simplify70.0ms

Algorithm

egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4984	2141
1	4984	2141

prune147.0ms

Filtered

78 candidates to 138 candidates (-76.9%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	136	2	138
Fresh	3	4	7
Picked	0	1	1
Done	0	1	1
Total	139	8	147

Merged error: 0b

Counts

147 → 8

regimes192.0ms

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	83	19
1	83	19

end0.0ms

sample1.2s

Algorithm

intervals

Results

450.0ms	4841×	body	160	valid
253.0ms	8913×	pre	80	true
198.0ms	1380×	body	320	valid
87.0ms	1779×	body	80	valid
42.0ms	913×	body	80	nan

Details

analyze260.0ms

sample43.0ms

simplify181.0ms

prune8.0ms

localize13.0ms

rewrite31.0ms

series54.0ms

simplify47.0ms

prune128.0ms

localize14.0ms

rewrite42.0ms

series105.0ms

simplify51.0ms

prune179.0ms

localize15.0ms

rewrite46.0ms

series64.0ms

simplify51.0ms

prune195.0ms

localize14.0ms

rewrite45.0ms

series64.0ms

simplify70.0ms

prune147.0ms

regimes192.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.2s

Profiling