Details

sample75.0ms

Algorithm

intervals

Results

16.0ms	260×	body	80	nan
15.0ms	165×	body	160	valid
14.0ms	516×	pre	80	true
6.0ms	39×	body	320	valid
2.0ms	52×	body	80	valid

simplify207.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (206.0ms)

Iter	Nodes	Cost
0	1931	16
1	1931	16

prune7.0ms

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: 45.2b

Counts

2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (- (* b b) (* 4.0 (* a c))))
0.1b	(- (* b b) (* 4.0 (* a c)))
0.2b	(/ (- (sqrt (- (* b b) (* 4.0 (* a c)))) b) (* a 2.0))
41.0b	(- (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 → 72

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)

series66.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(sqrt (- (* b b) (* 4.0 (* a c))))
8.0ms	(- (* b b) (* 4.0 (* a c)))
25.0ms	(/ (- (sqrt (- (* b b) (* 4.0 (* a c)))) b) (* a 2.0))
18.0ms	(- (sqrt (- (* b b) (* 4.0 (* a c)))) b)

simplify40.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5340	1324

prune176.0ms

Filtered

62 candidates to 84 candidates (-35.5%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	71	13	84
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	72	13	85

Merged error: 5.0b

Counts

85 → 13

localize5.0ms

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

prune42.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	12	12
Picked	1	1
Done	0	0
Total	13	13

Merged error: 5.0b

Counts

13 → 13

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b	(/ (* -2.0 (* (/ a b) c)) (* a 2.0))
0.3b	(* (/ a b) c)

rewrite19.0ms

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:

11.0ms	(/ (* -2.0 (* (/ a b) c)) (* a 2.0))
6.0ms	(* (/ a b) c)

series10.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify42.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4991	490
1	4991	490

prune142.0ms

Filtered

40 candidates to 68 candidates (-70.0%)

Pruning

27 alts after pruning (26 fresh and 1 done)

	Pruned	Kept	Total
New	53	15	68
Fresh	0	11	11
Picked	1	0	1
Done	0	1	1
Total	54	27	81

Merged error: 4.9b

Counts

81 → 27

localize7.0ms

Local error

Found 2 expressions with local error:

0.3b	(* c (/ a (* b 2.0)))
0.4b	(* (/ -2.0 a) (* c (/ a (* b 2.0))))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-exp-log` `add-cbrt-cube`
20×	`prod-exp` `cbrt-unprod`
16×	`associate-l`
14×	`add-sqr-sqrt`
12×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
10×	`cbrt-undiv` `div-exp`
9×	`pow1`
8×	`associate-r`
4×	`associate-*r/` `pow-prod-down`
2×	`*-commutative` `div-inv` `add-log-exp`
1×	`frac-times` `associate-*l/` `unswap-sqr`

Counts

2 → 70

Calls

2 calls:

6.0ms	(* c (/ a (* b 2.0)))
11.0ms	(* (/ -2.0 a) (* c (/ a (* b 2.0))))

series11.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify49.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4972	627
1	4972	627

prune63.0ms

Filtered

46 candidates to 76 candidates (-65.2%)

Pruning

30 alts after pruning (28 fresh and 2 done)

	Pruned	Kept	Total
New	69	7	76
Fresh	4	21	25
Picked	0	1	1
Done	0	1	1
Total	73	30	103

Merged error: 4.9b

Counts

103 → 30

regimes446.0ms

Accuracy

13.5% (6.1b remaining)

Error of 11.1b against oracle of 5.0b and baseline of 12.0b

bsearch16.0ms

Steps

Iters	Range		Point
3	0.00016281506464492206	0.00022113994607677286	0.0001664603697344127

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	96	39
1	96	39

end0.0ms

sample2.1s

Algorithm

intervals

Results

452.0ms	4844×	body	160	valid
437.0ms	16310×	pre	80	true
385.0ms	8310×	body	80	nan
192.0ms	1367×	body	320	valid
87.0ms	1789×	body	80	valid

Details

sample75.0ms

simplify207.0ms

prune7.0ms

localize10.0ms

rewrite28.0ms

series66.0ms

simplify40.0ms

prune176.0ms

localize5.0ms

rewrite0.0ms

series0.0ms

simplify2.0ms

prune42.0ms

localize7.0ms

rewrite19.0ms

series10.0ms

simplify42.0ms

prune142.0ms

localize7.0ms

rewrite20.0ms

series11.0ms

simplify49.0ms

prune63.0ms

regimes446.0ms

bsearch16.0ms

simplify2.0ms

end0.0ms

sample2.1s

Profiling