Details

analyze258.0ms

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

sample38.0ms

Algorithm

intervals

Results

13.0ms	139×	body	160	valid
8.0ms	280×	pre	80	true
5.0ms	117×	body	80	valid
1.0ms	24×	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

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: 28.9b

Counts

2 → 2

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* 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))
28.7b	(+ (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))))

series55.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(- (* b b) (* (* 3.0 a) c))
3.0ms	(* (* 3.0 a) c)
28.0ms	(/ (+ (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

prune119.0ms

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	1	0	1
Picked	1	0	1
Done	0	0	0
Total	81	5	86

Merged error: 0.4b

Counts

86 → 5

localize12.0ms

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))))))
0.3b	(/ (/ (* 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))))))
18.0ms	(/ (/ (* 3.0 (* a c)) (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c)))))) (* 3.0 a))

series109.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* 3.0 (* a c))
4.0ms	(* 3.0 (* a c))
58.0ms	(/ (* 3.0 (* a c)) (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))))
43.0ms	(/ (/ (* 3.0 (* a c)) (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c)))))) (* 3.0 a))

simplify54.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5025	2216

prune187.0ms

Filtered

76 candidates to 135 candidates (-77.6%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	125	10	135
Fresh	4	0	4
Picked	1	0	1
Done	0	0	0
Total	130	10	140

Merged error: 0.0b

Counts

140 → 10

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite33.0ms

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:

10.0ms	(/ c (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))))
9.0ms	(- (neg b) (sqrt (- (* b b) (* 3.0 (* a c)))))
4.0ms	(- (* b b) (* 3.0 (* a c)))
5.0ms	(* 3.0 (* a c))

series74.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(/ c (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))))
15.0ms	(- (neg b) (sqrt (- (* b b) (* 3.0 (* a c)))))
9.0ms	(- (* b b) (* 3.0 (* a c)))
4.0ms	(* 3.0 (* a c))

simplify62.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5266	1656

prune154.0ms

Filtered

67 candidates to 103 candidates (-53.7%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	101	2	103
Fresh	3	6	9
Picked	1	0	1
Done	0	0	0
Total	105	8	113

Merged error: 0b

Counts

113 → 8

localize24.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* a c) (+ (* 3.0 (* a c)) (* b b)))
0.3b	(* 3.0 (* (* a c) (+ (* 3.0 (* a c)) (* b b))))
0.4b	(/ (- (pow b 6) (pow (* 3.0 (* a c)) 3)) (+ (pow b 4) (* 3.0 (* (* a c) (+ (* 3.0 (* a c)) (* b b))))))
0.7b	(pow (* 3.0 (* a c)) 3)

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

50×	`add-sqr-sqrt`
30×	`*-un-lft-identity` `times-frac`
26×	`add-exp-log` `add-cbrt-cube`
24×	`pow1` `difference-of-squares`
22×	`add-cube-cbrt`
21×	`sqr-pow`
12×	`pow-prod-down` `prod-exp` `cbrt-unprod`
10×	`associate-/l*`
9×	`unpow-prod-down`
6×	`associate-*r/`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`associate-r` `associate-l` `distribute-lft-out--` `add-log-exp`
3×	`pow-unpow` `pow-pow` `flip3-+` `pow-exp` `associate-/r*` `flip-+` `rem-cube-cbrt`
2×	`associate-/r/` `*-commutative` `associate-/l/`
1×	`cbrt-undiv` `cube-mult` `pow-to-exp` `flip3--` `frac-2neg` `unpow3` `div-sub` `cube-prod` `div-exp` `clear-num` `flip--` `div-inv`

Counts

4 → 134

Calls

4 calls:

10.0ms	(* (* a c) (+ (* 3.0 (* a c)) (* b b)))
11.0ms	(* 3.0 (* (* a c) (+ (* 3.0 (* a c)) (* b b))))
14.0ms	(/ (- (pow b 6) (pow (* 3.0 (* a c)) 3)) (+ (pow b 4) (* 3.0 (* (* a c) (+ (* 3.0 (* a c)) (* b b))))))
6.0ms	(pow (* 3.0 (* a c)) 3)

series75.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(* (* a c) (+ (* 3.0 (* a c)) (* b b)))
17.0ms	(* 3.0 (* (* a c) (+ (* 3.0 (* a c)) (* b b))))
35.0ms	(/ (- (pow b 6) (pow (* 3.0 (* a c)) 3)) (+ (pow b 4) (* 3.0 (* (* a c) (+ (* 3.0 (* a c)) (* b b))))))
8.0ms	(pow (* 3.0 (* a c)) 3)

simplify66.0ms

Algorithm

egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5005	3960

prune333.0ms

Filtered

98 candidates to 146 candidates (-49.0%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	146	0	146
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	146	8	154

Merged error: 0b

Counts

154 → 8

regimes195.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	64	37
1	64	37

end0.0ms

sample1.1s

Algorithm

intervals

Results

405.0ms	4421×	body	160	valid
251.0ms	8930×	pre	80	true
170.0ms	3579×	body	80	valid
43.0ms	930×	body	80	nan

Details

analyze258.0ms

sample38.0ms

simplify176.0ms

prune10.0ms

localize10.0ms

rewrite31.0ms

series55.0ms

simplify44.0ms

prune119.0ms

localize12.0ms

rewrite46.0ms

series109.0ms

simplify54.0ms

prune187.0ms

localize12.0ms

rewrite33.0ms

series74.0ms

simplify62.0ms

prune154.0ms

localize24.0ms

rewrite46.0ms

series75.0ms

simplify66.0ms

prune333.0ms

regimes195.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.1s

Profiling