Details

analyze266.0ms

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

15.0ms	152×	body	160	valid
9.0ms	297×	pre	80	true
5.0ms	104×	body	80	valid
2.0ms	41×	body	80	nan

simplify183.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (181.0ms)

Iter	Nodes	Cost
0	1784	16
1	1784	16

prune11.0ms

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: 30.0b

Counts

2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* b b) (* (* 3.0 a) c))
0.3b	(* (* 3.0 a) c)
0.4b	(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
29.9b	(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite31.0ms

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)
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))))

series53.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(- (* b b) (* (* 3.0 a) c))
5.0ms	(* (* 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))))

simplify43.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	6060	1115

prune142.0ms

Filtered

59 candidates to 84 candidates (-42.4%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	76	8	84
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	77	8	85

Merged error: 0.4b

Counts

85 → 8

localize13.0ms

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:

4.0ms	(* 3.0 (* a c))
5.0ms	(* 3.0 (* a c))
13.0ms	(/ (* 3.0 (* a c)) (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))))
19.0ms	(/ (/ (* 3.0 (* a c)) (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c)))))) (* 3.0 a))

series106.0ms

Counts

4 → 12

Calls

4 calls:

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))))))
42.0ms	(/ (/ (* 3.0 (* a c)) (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c)))))) (* 3.0 a))

simplify59.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5025	2216

prune204.0ms

Filtered

76 candidates to 135 candidates (-77.6%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	126	9	135
Fresh	6	1	7
Picked	1	0	1
Done	0	0	0
Total	133	10	143

Merged error: 0b

Counts

143 → 10

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite31.0ms

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:

9.0ms	(- (neg b) (sqrt (- (* b b) (* 3.0 (* a c)))))
4.0ms	(- (* b b) (* 3.0 (* a c)))
10.0ms	(/ c (- (neg b) (sqrt (- (* 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)))))
9.0ms	(- (* b b) (* 3.0 (* a c)))
48.0ms	(/ c (- (neg b) (sqrt (- (* 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

prune162.0ms

Filtered

67 candidates to 103 candidates (-53.7%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	101	2	103
Fresh	2	7	9
Picked	0	1	1
Done	0	0	0
Total	103	10	113

Merged error: 0b

Counts

113 → 10

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* 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)))

rewrite46.0ms

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)))
17.0ms	(/ (/ 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:

8.0ms	(- (* b b) (* 3.0 (* a c)))
34.0ms	(/ (/ 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)))

simplify92.0ms

Algorithm

egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	4982	2287
1	4982	2287

prune158.0ms

Filtered

81 candidates to 141 candidates (-74.1%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	139	2	141
Fresh	2	6	8
Picked	0	1	1
Done	1	0	1
Total	142	9	151

Merged error: 0b

Counts

151 → 9

regimes245.0ms

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	81	17
1	81	17

end0.0ms

sample1.2s

Algorithm

intervals

Results

458.0ms	4487×	body	160	valid
263.0ms	8934×	pre	80	true
183.0ms	3513×	body	80	valid
50.0ms	934×	body	80	nan

Details

analyze266.0ms

sample43.0ms

simplify183.0ms

prune11.0ms

localize11.0ms

rewrite31.0ms

series53.0ms

simplify43.0ms

prune142.0ms

localize13.0ms

rewrite46.0ms

series106.0ms

simplify59.0ms

prune204.0ms

localize14.0ms

rewrite31.0ms

series75.0ms

simplify58.0ms

prune162.0ms

localize18.0ms

rewrite46.0ms

series64.0ms

simplify92.0ms

prune158.0ms

regimes245.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.2s

Profiling