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

sample37.0ms

Algorithm

intervals

Results

13.0ms	140×	body	160	valid
8.0ms	278×	pre	80	true
6.0ms	116×	body	80	valid
1.0ms	22×	body	80	nan

simplify204.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (202.0ms)

Iter	Nodes	Cost
0	1931	16
1	1931	16

prune10.0ms

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: 29.0b

Counts

2 → 1

localize11.0ms

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))
28.9b	(- (sqrt (- (* b b) (* 4.0 (* a c)))) b)

rewrite28.0ms

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))
7.0ms	(- (sqrt (- (* b b) (* 4.0 (* a c)))) b)

series64.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(sqrt (- (* b b) (* 4.0 (* a c))))
10.0ms	(- (* 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)

simplify40.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5340	1316

prune170.0ms

Filtered

62 candidates to 82 candidates (-32.3%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	68	14	82
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	69	14	83

Merged error: 8.3b

Counts

83 → 14

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

prune49.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	13	13
Picked	1	1
Done	0	0
Total	14	14

Merged error: 8.3b

Counts

14 → 14

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))

series10.0ms

Counts

2 → 6

Calls

2 calls:

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

prune153.0ms

Filtered

42 candidates to 68 candidates (-61.9%)

Pruning

29 alts after pruning (28 fresh and 1 done)

	Pruned	Kept	Total
New	52	16	68
Fresh	0	12	12
Picked	0	1	1
Done	1	0	1
Total	53	29	82

Merged error: 8.2b

Counts

82 → 29

localize5.0ms

Local error

Found 2 expressions with local error:

0.2b	(* b (/ 2.0 c))
0.2b	(/ -2.0 (* b (/ 2.0 c)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 56

Calls

2 calls:

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

series6.0ms

Counts

2 → 6

Calls

2 calls:

3.0ms	(* b (/ 2.0 c))
3.0ms	(/ -2.0 (* b (/ 2.0 c)))

simplify63.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4971	444
1	4971	444

prune58.0ms

Filtered

40 candidates to 62 candidates (-55.0%)

Pruning

28 alts after pruning (26 fresh and 2 done)

	Pruned	Kept	Total
New	54	8	62
Fresh	9	18	27
Picked	0	1	1
Done	0	1	1
Total	63	28	91

Merged error: 8.2b

Counts

91 → 28

regimes489.0ms

Accuracy

46.5% (7.3b remaining)

Error of 16.4b against oracle of 9.1b and baseline of 22.8b

bsearch2.0ms

Steps

Iters	Range		Point
0	476.0296186100653	485.97522018457266	481.002419397319

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	99	45
1	99	45

end0.0ms

sample1.1s

Algorithm

intervals

Results

419.0ms	4480×	body	160	valid
250.0ms	8865×	pre	80	true
173.0ms	3520×	body	80	valid
40.0ms	865×	body	80	nan

Details

analyze258.0ms

sample37.0ms

simplify204.0ms

prune10.0ms

localize11.0ms

rewrite28.0ms

series64.0ms

simplify40.0ms

prune170.0ms

localize3.0ms

rewrite0.0ms

series0.0ms

simplify2.0ms

prune49.0ms

localize7.0ms

rewrite17.0ms

series10.0ms

simplify42.0ms

prune153.0ms

localize5.0ms

rewrite14.0ms

series6.0ms

simplify63.0ms

prune58.0ms

regimes489.0ms

bsearch2.0ms

simplify2.0ms

end0.0ms

sample1.1s

Profiling