Details

sample83.0ms

Algorithm

intervals

Results

16.0ms	116×	body	320	valid
15.0ms	268×	body	80	nan
15.0ms	524×	pre	80	true
9.0ms	100×	body	160	valid
3.0ms	15×	body	640	valid
1.0ms	25×	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

prune10.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Merged error: 53.0b

Counts

2 → 2

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (* b b) (* (* 3.0 a) c))
0.2b	(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
0.3b	(* (* 3.0 a) c)
27.1b	(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite28.0ms

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 → 73

Calls

4 calls:

3.0ms	(- (* b b) (* (* 3.0 a) c))
11.0ms	(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
5.0ms	(* (* 3.0 a) c)
7.0ms	(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series53.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(- (* b b) (* (* 3.0 a) c))
25.0ms	(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
6.0ms	(* (* 3.0 a) c)
14.0ms	(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify38.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5005	1123

prune118.0ms

Filtered

59 candidates to 85 candidates (-44.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	81	4	85
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	83	4	87

Merged error: 0.1b

Counts

87 → 4

localize14.0ms

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)) 0) (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))))
0.4b	(/ (/ (+ (* 3.0 (* a c)) 0) (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c)))))) (* 3.0 a))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
80×	`add-sqr-sqrt` `*-un-lft-identity`
40×	`add-cube-cbrt`
30×	`associate-/l*`
28×	`add-exp-log` `add-cbrt-cube`
20×	`distribute-lft-out--` `difference-of-squares`
14×	`pow1`
10×	`distribute-rgt-neg-in` `sqrt-prod`
8×	`prod-exp` `associate-/r*` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp`
6×	`associate-l` `pow-prod-down` `associate-/r/`
4×	`div-inv` `add-log-exp`
3×	`flip3--` `flip--` `associate-/l/`
2×	`frac-2neg` `associate-r` `clear-num` `*-commutative`
1×	`flip3-+` `flip-+`

Counts

4 → 157

Calls

4 calls:

4.0ms	(* 3.0 (* a c))
5.0ms	(* 3.0 (* a c))
14.0ms	(/ (+ (* 3.0 (* a c)) 0) (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))))
19.0ms	(/ (/ (+ (* 3.0 (* a c)) 0) (- (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))
56.0ms	(/ (+ (* 3.0 (* a c)) 0) (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))))
41.0ms	(/ (/ (+ (* 3.0 (* a c)) 0) (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c)))))) (* 3.0 a))

simplify63.0ms

Algorithm

egg-herbie

Counts

169 → 169

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4904	3674
1	4904	3674

prune251.0ms

Filtered

103 candidates to 169 candidates (-64.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	164	5	169
Fresh	2	1	3
Picked	0	1	1
Done	0	0	0
Total	166	7	173

Merged error: 0b

Counts

173 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

159×	`times-frac`
127×	`add-sqr-sqrt` `*-un-lft-identity`
75×	`add-cube-cbrt`
26×	`distribute-lft-out--` `difference-of-squares`
25×	`associate-/r*`
20×	`add-exp-log`
14×	`add-cbrt-cube`
13×	`distribute-rgt-neg-in` `sqrt-prod`
10×	`pow1` `add-log-exp`
7×	`div-exp`
5×	`div-inv`
3×	`cbrt-undiv` `diff-log` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `associate-/l*`
2×	`sub-neg` `rec-exp` `flip3--` `1-exp` `flip--`
1×	`associate--l-` `neg-sub0` `pow-flip` `frac-2neg` `associate-r` `neg-log` `clear-num` `associate-/r/` `*-commutative` `inv-pow`

Counts

4 → 172

Calls

4 calls:

8.0ms	(- (neg b) (sqrt (- (* b b) (* 3.0 (* a c)))))
3.0ms	(- (* b b) (* 3.0 (* a c)))
15.0ms	(/ 1 (/ (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))) c))
5.0ms	(* 3.0 (* a c))

series59.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(- (neg b) (sqrt (- (* b b) (* 3.0 (* a c)))))
8.0ms	(- (* b b) (* 3.0 (* a c)))
30.0ms	(/ 1 (/ (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))) c))
3.0ms	(* 3.0 (* a c))

simplify95.0ms

Algorithm

egg-herbie

Counts

184 → 184

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4961	3883
1	4961	3883

prune202.0ms

Filtered

94 candidates to 184 candidates (-95.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	182	2	184
Fresh	2	3	5
Picked	0	1	1
Done	1	0	1
Total	185	6	191

Merged error: 0b

Counts

191 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

64×	`add-sqr-sqrt`
58×	`*-un-lft-identity`
44×	`times-frac`
30×	`associate-l`
29×	`add-cube-cbrt`
22×	`add-exp-log`
16×	`add-cbrt-cube`
14×	`distribute-lft-out--` `difference-of-squares`
12×	`pow1`
7×	`distribute-rgt-neg-in` `prod-exp` `associate-/r*` `sqrt-prod`
6×	`add-log-exp`
5×	`cbrt-unprod`
4×	`div-exp` `associate-r` `pow-prod-down` `associate-/r/`
3×	`flip3--` `flip--` `associate-/l*` `unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `1-exp` `*-commutative` `div-inv`
1×	`sub-neg` `pow-flip` `frac-2neg` `diff-log` `associate-*l/` `clear-num` `inv-pow`

Counts

4 → 128

Calls

4 calls:

9.0ms	(/ 1 (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))))
3.0ms	(- (* b b) (* 3.0 (* a c)))
14.0ms	(* (/ 1 (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c)))))) c)
5.0ms	(* 3.0 (* a c))

series68.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(/ 1 (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))))
8.0ms	(- (* b b) (* 3.0 (* a c)))
33.0ms	(* (/ 1 (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c)))))) c)
3.0ms	(* 3.0 (* a c))

simplify45.0ms

Algorithm

egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5028	2235

prune148.0ms

Filtered

81 candidates to 140 candidates (-72.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	139	1	140
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	140	6	146

Merged error: 0b

Counts

146 → 6

regimes168.0ms

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 (0.0ms)

Iter	Nodes	Cost
0	14	15
1	14	15

end0.0ms

sample2.3s

Algorithm

intervals

Results

513.0ms	3712×	body	320	valid
457.0ms	16146×	pre	80	true
378.0ms	8146×	body	80	nan
264.0ms	2886×	body	160	valid
95.0ms	504×	body	640	valid
43.0ms	898×	body	80	valid

Details

sample83.0ms

simplify4.0ms

prune10.0ms

localize11.0ms

rewrite28.0ms

series53.0ms

simplify38.0ms

prune118.0ms

localize14.0ms

rewrite48.0ms

series104.0ms

simplify63.0ms

prune251.0ms

localize12.0ms

rewrite38.0ms

series59.0ms

simplify95.0ms

prune202.0ms

localize12.0ms

rewrite36.0ms

series68.0ms

simplify45.0ms

prune148.0ms

regimes168.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.3s

Profiling