Details

sample80.0ms

Algorithm

intervals

Results

17.0ms	122×	body	320	valid
14.0ms	506×	pre	80	true
11.0ms	250×	body	80	nan
10.0ms	101×	body	160	valid
2.0ms	13×	body	640	valid
1.0ms	20×	body	80	valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	88	16
1	88	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: 54.9b

Counts

2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (* b b) (* 3.0 (* a c)))
0.2b	(/ (- (sqrt (- (* b b) (* 3.0 (* a c)))) b) (* 3.0 a))
0.3b	(* 3.0 (* a c))
28.7b	(- (sqrt (- (* b b) (* 3.0 (* a c)))) b)

rewrite29.0ms

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 → 75

Calls

4 calls:

3.0ms	(- (* b b) (* 3.0 (* a c)))
10.0ms	(/ (- (sqrt (- (* b b) (* 3.0 (* a c)))) b) (* 3.0 a))
7.0ms	(* 3.0 (* a c))
7.0ms	(- (sqrt (- (* b b) (* 3.0 (* a c)))) b)

series52.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(- (* 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)

simplify31.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	5007	1209

prune113.0ms

Filtered

59 candidates to 87 candidates (-47.5%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	84	3	87
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	85	3	88

Merged error: 0.1b

Counts

88 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

54×	`times-frac`
51×	`*-un-lft-identity`
31×	`add-sqr-sqrt` `add-cube-cbrt`
28×	`add-exp-log` `add-cbrt-cube`
21×	`associate-/l*`
14×	`pow1`
10×	`distribute-lft-out`
8×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp`
6×	`associate-l` `pow-prod-down` `associate-/r/`
5×	`associate-/r*`
4×	`div-inv` `add-log-exp`
3×	`flip3-+` `div-sub` `distribute-frac-neg` `flip-+` `associate-/l/`
2×	`frac-2neg` `sub0-neg` `associate-r` `clear-num` `*-commutative`
1×	`flip3--` `flip--`

Counts

4 → 131

Calls

4 calls:

9.0ms	(/ (- 0 (* 3.0 (* a c))) (+ b (sqrt (- (* b b) (* 3.0 (* a c))))))
5.0ms	(* 3.0 (* a c))
5.0ms	(* 3.0 (* a c))
12.0ms	(/ (/ (- 0 (* 3.0 (* a c))) (+ 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))) (+ b (sqrt (- (* b b) (* 3.0 (* a c))))))
3.0ms	(* 3.0 (* a c))
3.0ms	(* 3.0 (* a c))
44.0ms	(/ (/ (- 0 (* 3.0 (* a c))) (+ b (sqrt (- (* b b) (* 3.0 (* a c)))))) (* 3.0 a))

simplify39.0ms

Algorithm

egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5247	2768

prune224.0ms

Filtered

97 candidates to 143 candidates (-47.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	137	6	143
Fresh	2	0	2
Picked	0	1	1
Done	0	0	0
Total	139	7	146

Merged error: 0b

Counts

146 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

24×	`*-un-lft-identity`
14×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`times-frac`
11×	`add-exp-log` `add-cbrt-cube`
9×	`pow1`
8×	`add-log-exp`
5×	`distribute-lft-out`
4×	`associate-/r*`
3×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `associate-/l*`
2×	`flip3-+` `associate-/r/` `flip-+`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `flip3--` `frac-2neg` `diff-log` `div-exp` `associate-r` `clear-num` `sum-log` `*-commutative` `flip--` `div-inv`

Counts

4 → 75

Calls

4 calls:

5.0ms	(+ b (sqrt (- (* b b) (* 3.0 (* a c)))))
7.0ms	(/ c (+ b (sqrt (- (* b b) (* 3.0 (* a c))))))
3.0ms	(- (* b b) (* 3.0 (* a c)))
5.0ms	(* 3.0 (* a c))

series73.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(+ b (sqrt (- (* b b) (* 3.0 (* a c)))))
46.0ms	(/ c (+ b (sqrt (- (* b b) (* 3.0 (* a c))))))
8.0ms	(- (* b b) (* 3.0 (* a c)))
3.0ms	(* 3.0 (* a c))

simplify70.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4949	1193
1	4949	1193

prune122.0ms

Filtered

61 candidates to 87 candidates (-42.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	85	2	87
Fresh	2	3	5
Picked	0	1	1
Done	1	0	1
Total	88	6	94

Merged error: 0b

Counts

94 → 6

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (* b b) (* 3.0 (* a c)))
0.3b	(* 3.0 (* a c))
0.5b	(cbrt (pow (- (* b b) (* 3.0 (* a c))) 3))
0.7b	(pow (- (* b b) (* 3.0 (* a c))) 3)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
10×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`unpow-prod-down` `cube-prod` `add-log-exp`
4×	`cube-div`
3×	`pow-unpow` `flip3--` `associate-l` `pow-prod-down` `prod-exp` `flip--` `cbrt-unprod`
2×	`cube-mult` `cbrt-div` `unpow3` `sqr-pow`
1×	`pow-to-exp` `sub-neg` `pow-pow` `pow1/3` `diff-log` `associate-r` `pow-exp` `*-commutative` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 78

Calls

4 calls:

4.0ms	(- (* b b) (* 3.0 (* a c)))
5.0ms	(* 3.0 (* a c))
5.0ms	(cbrt (pow (- (* b b) (* 3.0 (* a c))) 3))
5.0ms	(pow (- (* b b) (* 3.0 (* a c))) 3)

series40.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(- (* b b) (* 3.0 (* a c)))
3.0ms	(* 3.0 (* a c))
9.0ms	(cbrt (pow (- (* b b) (* 3.0 (* a c))) 3))
19.0ms	(pow (- (* b b) (* 3.0 (* a c))) 3)

simplify50.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5010	1091

prune101.0ms

Filtered

49 candidates to 90 candidates (-83.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	90	0	90
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	90	6	96

Merged error: 0b

Counts

96 → 6

regimes166.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	15
1	26	15

end0.0ms

sample2.3s

Algorithm

intervals

Results

511.0ms	3666×	body	320	valid
447.0ms	16205×	pre	80	true
385.0ms	8205×	body	80	nan
271.0ms	2913×	body	160	valid
97.0ms	524×	body	640	valid
44.0ms	897×	body	80	valid

Details

sample80.0ms

simplify4.0ms

prune8.0ms

localize10.0ms

rewrite29.0ms

series52.0ms

simplify31.0ms

prune113.0ms

localize14.0ms

rewrite35.0ms

series104.0ms

simplify39.0ms

prune224.0ms

localize11.0ms

rewrite22.0ms

series73.0ms

simplify70.0ms

prune122.0ms

localize15.0ms

rewrite20.0ms

series40.0ms

simplify50.0ms

prune101.0ms

regimes166.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.3s

Profiling