Details

analyze273.0ms

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

sample39.0ms

Algorithm

intervals

Results

14.0ms	148×	body	160	valid
8.0ms	274×	pre	80	true
6.0ms	108×	body	80	valid
1.0ms	18×	body	80	nan

simplify209.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (207.0ms)

Iter	Nodes	Cost
0	1931	16
1	1931	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: 29.5b

Counts

2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (- (* b b) (* 4.0 (* a c))))
0.2b	(- (* b b) (* 4.0 (* a c)))
0.3b	(/ (- (sqrt (- (* b b) (* 4.0 (* a c)))) b) (* a 2.0))
29.4b	(- (sqrt (- (* b b) (* 4.0 (* a c)))) b)

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 70

Calls

4 calls:

4.0ms	(sqrt (- (* b b) (* 4.0 (* a c))))
4.0ms	(- (* b b) (* 4.0 (* a c)))
11.0ms	(/ (- (sqrt (- (* b b) (* 4.0 (* a c)))) b) (* a 2.0))
10.0ms	(- (sqrt (- (* b b) (* 4.0 (* a c)))) b)

series63.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(sqrt (- (* b b) (* 4.0 (* a c))))
9.0ms	(- (* b b) (* 4.0 (* a c)))
25.0ms	(/ (- (sqrt (- (* b b) (* 4.0 (* a c)))) b) (* a 2.0))
15.0ms	(- (sqrt (- (* b b) (* 4.0 (* a c)))) b)

simplify41.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5340	1316

prune178.0ms

Filtered

62 candidates to 82 candidates (-32.3%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	67	15	82
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	68	15	83

Merged error: 9.6b

Counts

83 → 15

localize3.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify2.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune54.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	14	14
Picked	1	1
Done	0	0
Total	15	15

Merged error: 9.6b

Counts

15 → 15

localize7.0ms

Local error

Found 2 expressions with local error:

0.3b	(* (/ a b) c)
0.3b	(/ (* -2.0 (* (/ a b) c)) (* a 2.0))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-exp-log` `add-cbrt-cube`
16×	`prod-exp` `cbrt-unprod`
15×	`add-sqr-sqrt`
13×	`associate-l`
11×	`cbrt-undiv` `times-frac` `div-exp`
10×	`add-cube-cbrt` `*-un-lft-identity`
4×	`pow1`
3×	`associate-r`
2×	`associate-*l/` `div-inv` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `associate-/r` `-commutative` `associate-/l/` `associate-/l`

Counts

2 → 62

Calls

2 calls:

6.0ms	(* (/ a b) c)
9.0ms	(/ (* -2.0 (* (/ a b) c)) (* a 2.0))

series11.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(* (/ a b) c)
6.0ms	(/ (* -2.0 (* (/ a b) c)) (* a 2.0))

simplify42.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4991	490
1	4991	490

prune166.0ms

Filtered

42 candidates to 68 candidates (-61.9%)

Pruning

30 alts after pruning (30 fresh and 0 done)

	Pruned	Kept	Total
New	51	17	68
Fresh	0	13	13
Picked	1	0	1
Done	1	0	1
Total	53	30	83

Merged error: 9.5b

Counts

83 → 30

localize6.0ms

Local error

Found 1 expressions with local error:

0.3b	(/ 1 (* (/ b c) (/ 2.0 -2.0)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

45×	`add-exp-log`
22×	`div-exp`
19×	`add-cbrt-cube`
12×	`prod-exp`
9×	`cbrt-undiv`
5×	`rec-exp` `1-exp`
4×	`pow1` `cbrt-unprod`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `times-frac` `associate-/r/` `associate-/l`
2×	`pow-flip`
1×	`frac-times` `frac-2neg` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `associate-/r*` `div-inv` `inv-pow` `add-log-exp`

Counts

1 → 43

Calls

1 calls:

7.0ms

(/ 1 (* (/ b c) (/ 2.0 -2.0)))

series3.0ms

Counts

1 → 3

Calls

1 calls:

3.0ms

(/ 1 (* (/ b c) (/ 2.0 -2.0)))

simplify62.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4964	340
1	4964	340

prune26.0ms

Filtered

19 candidates to 46 candidates (-142.1%)

Pruning

31 alts after pruning (30 fresh and 1 done)

	Pruned	Kept	Total
New	45	1	46
Fresh	0	29	29
Picked	0	1	1
Done	0	0	0
Total	45	31	76

Merged error: 9.5b

Counts

76 → 31

regimes534.0ms

Accuracy

47.8% (7.2b remaining)

Error of 16.2b against oracle of 9.0b and baseline of 22.8b

bsearch6.0ms

Steps

Iters	Range		Point
1	1189.7921410522044	1291.0650538590507	1265.746825657339

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	99	43
1	99	43

end0.0ms

sample1.1s

Algorithm

intervals

Results

442.0ms	4492×	body	160	valid
247.0ms	8805×	pre	80	true
184.0ms	3508×	body	80	valid
43.0ms	805×	body	80	nan

Details

analyze273.0ms

sample39.0ms

simplify209.0ms

prune8.0ms

localize10.0ms

rewrite30.0ms

series63.0ms

simplify41.0ms

prune178.0ms

localize3.0ms

rewrite0.0ms

series0.0ms

simplify2.0ms

prune54.0ms

localize7.0ms

rewrite17.0ms

series11.0ms

simplify42.0ms

prune166.0ms

localize6.0ms

rewrite9.0ms

series3.0ms

simplify62.0ms

prune26.0ms

regimes534.0ms

bsearch6.0ms

simplify2.0ms

end0.0ms

sample1.1s

Profiling