Details

sample73.0ms

Algorithm

intervals

Results

15.0ms	528×	pre	80	true
14.0ms	146×	body	160	valid
12.0ms	272×	body	80	nan
5.0ms	110×	body	80	valid

simplify207.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (205.0ms)

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	(/ (- (sqrt (- (* b b) (* 4.0 (* a c)))) b) (* a 2.0))
0.3b	(- (* b b) (* 4.0 (* a c)))
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 → 72

Calls

4 calls:

4.0ms	(sqrt (- (* b b) (* 4.0 (* a c))))
13.0ms	(/ (- (sqrt (- (* b b) (* 4.0 (* a c)))) b) (* a 2.0))
4.0ms	(- (* b b) (* 4.0 (* a c)))
8.0ms	(- (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))))
25.0ms	(/ (- (sqrt (- (* b b) (* 4.0 (* a c)))) b) (* a 2.0))
8.0ms	(- (* b b) (* 4.0 (* a c)))
15.0ms	(- (sqrt (- (* b b) (* 4.0 (* a c)))) b)

simplify40.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5340	1324

prune175.0ms

Filtered

62 candidates to 84 candidates (-35.5%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	69	15	84
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	70	15	85

Merged error: 9.3b

Counts

85 → 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

prune51.0ms

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: 9.3b

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))

rewrite18.0ms

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)
10.0ms	(/ (* -2.0 (* (/ a b) c)) (* a 2.0))

series11.0ms

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 (37.0ms)

Iter	Nodes	Cost
0	4991	490
1	4991	490

prune160.0ms

Filtered

42 candidates to 68 candidates (-61.9%)

Pruning

31 alts after pruning (30 fresh and 1 done)

	Pruned	Kept	Total
New	51	17	68
Fresh	0	13	13
Picked	1	0	1
Done	0	1	1
Total	52	31	83

Merged error: 9.2b

Counts

83 → 31

localize7.0ms

Local error

Found 1 expressions with local error:

0.4b	(/ (* -2.0 (* a c)) (* a (* b 2.0)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

37×	`add-exp-log` `add-cbrt-cube`
18×	`prod-exp` `cbrt-unprod`
9×	`cbrt-undiv` `div-exp`
1×	`pow1` `add-sqr-sqrt` `add-cube-cbrt` `frac-2neg` `-un-lft-identity` `times-frac` `clear-num` `associate-/r` `div-inv` `associate-/l*` `add-log-exp`

Counts

1 → 31

Calls

1 calls:

9.0ms

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

series5.0ms

Counts

1 → 3

Calls

1 calls:

5.0ms

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

simplify33.0ms

Algorithm

egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5022	278

prune20.0ms

Filtered

13 candidates to 34 candidates (-161.5%)

Pruning

31 alts after pruning (30 fresh and 1 done)

	Pruned	Kept	Total
New	32	2	34
Fresh	1	28	29
Picked	0	1	1
Done	1	0	1
Total	34	31	65

Merged error: 9.2b

Counts

65 → 31

regimes553.0ms

Accuracy

47.8% (7.3b remaining)

Error of 16.3b against oracle of 9.1b and baseline of 23.0b

bsearch16.0ms

Steps

Iters	Range		Point
3	191.5498668520391	241.8406838814537	207.26574717373114

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	103	47
1	103	47

end0.0ms

sample2.1s

Algorithm

intervals

Results

473.0ms	16735×	pre	80	true
420.0ms	4446×	body	160	valid
416.0ms	8735×	body	80	nan
173.0ms	3554×	body	80	valid

Details

sample73.0ms

simplify207.0ms

prune8.0ms

localize10.0ms

rewrite30.0ms

series63.0ms

simplify40.0ms

prune175.0ms

localize3.0ms

rewrite0.0ms

series0.0ms

simplify2.0ms

prune51.0ms

localize7.0ms

rewrite18.0ms

series11.0ms

simplify42.0ms

prune160.0ms

localize7.0ms

rewrite11.0ms

series5.0ms

simplify33.0ms

prune20.0ms

regimes553.0ms

bsearch16.0ms

simplify2.0ms

end0.0ms

sample2.1s

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