Details

sample48.0ms

Algorithm

intervals

Results

9.0ms	143×	body	160	valid
9.0ms	506×	pre	80	true
8.0ms	250×	body	80	nan
4.0ms	113×	body	80	valid

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	9
1	43	9
2	83	9
3	110	9
4	118	9
5	118	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.8b

localize10.0ms

Local error

Found 4 expressions with local error:

0.3b	(- (* b b) (* (* 3.0 a) c))
0.3b	(* (* 3.0 a) c)
0.4b	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
28.6b	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
14×	`add-exp-log` `add-cbrt-cube`
10×	`add-sqr-sqrt` `add-cube-cbrt` `fma-def` `add-log-exp`
9×	`pow1`
6×	`distribute-rgt-neg-in` `distribute-lft-out`
5×	`times-frac` `associate-/l*`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u`
3×	`distribute-lft-neg-in` `associate-r` `pow-prod-down`
2×	`cbrt-undiv` `neg-sub0` `associate-+l-` `flip3-+` `div-exp` `sum-log` `flip-+` `associate-/l/`
1×	`+-commutative` `neg-mul-1` `sub-neg` `flip3--` `frac-2neg` `fma-neg` `diff-log` `div-sub` `associate-l` `prod-diff` `neg-log` `clear-num` `associate-/r` `-commutative` `flip--` `div-inv`

Counts

4 → 93

Calls

4 calls:

3.0ms	(- (* b b) (* (* 3.0 a) c))
6.0ms	(* (* 3.0 a) c)
38.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
13.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series251.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(- (* b b) (* (* 3.0 a) c))
19.0ms	(* (* 3.0 a) c)
104.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
79.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify58.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	449	785
1	2075	672
2	5002	663

prune257.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 8.5b

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

prune37.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 8.5b

localize7.0ms

Local error

Found 3 expressions with local error:

0.2b	(/ (* a c) b)
0.3b	(* -1.5 (/ (* a c) b))
0.4b	(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-exp-log` `add-cbrt-cube`
17×	`prod-exp` `cbrt-unprod`
16×	`cbrt-undiv` `div-exp`
10×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`times-frac` `associate-r`
5×	`pow1`
4×	`associate-/r*`
3×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`frac-2neg` `associate-r/` `clear-num` `associate-/l`
1×	`pow-prod-down` `*-commutative` `associate-/l/` `unswap-sqr`

Counts

3 → 84

Calls

3 calls:

3.0ms	(/ (* a c) b)
8.0ms	(* -1.5 (/ (* a c) b))
9.0ms	(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

series68.0ms

Counts

3 → 9

Calls

3 calls:

18.0ms	(/ (* a c) b)
26.0ms	(* -1.5 (/ (* a c) b))
24.0ms	(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

simplify56.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	383	531
1	2513	389
2	5002	389

prune188.0ms

Pruning

29 alts after pruning (28 fresh and 1 done)

Merged error: 8.4b

localize7.0ms

Local error

Found 3 expressions with local error:

0.2b	(/ (* a c) b)
0.2b	(/ -1.5 (/ (* 3.0 a) (/ (* a c) b)))
0.4b	(/ (* 3.0 a) (/ (* a c) b))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

92×	`times-frac`
58×	`add-exp-log` `add-cbrt-cube`
34×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
29×	`cbrt-undiv` `div-exp`
22×	`associate-/r*`
13×	`div-inv`
11×	`prod-exp` `cbrt-unprod`
6×	`associate-/r/`
5×	`associate-/l*`
3×	`pow1` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `add-log-exp`

Counts

3 → 141

Calls

3 calls:

3.0ms	(/ (* a c) b)
8.0ms	(/ -1.5 (/ (* 3.0 a) (/ (* a c) b)))
6.0ms	(/ (* 3.0 a) (/ (* a c) b))

series63.0ms

Counts

3 → 9

Calls

3 calls:

24.0ms	(/ (* a c) b)
20.0ms	(/ -1.5 (/ (* 3.0 a) (/ (* a c) b)))
19.0ms	(/ (* 3.0 a) (/ (* a c) b))

simplify73.0ms

Algorithm

egg-herbie

Counts

150 → 150

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	593	1072
1	3353	883
2	5002	851

prune251.0ms

Pruning

34 alts after pruning (33 fresh and 1 done)

Merged error: 8.4b

regimes662.0ms

Accuracy

57.2% (5.9b remaining)

Error of 14.9b against oracle of 9.1b and baseline of 22.8b

bsearch3.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	27
1	27	27

end0.0ms

sample1.3s

Algorithm

intervals

Results

304.0ms	16488×	pre	80	true
288.0ms	4452×	body	160	valid
258.0ms	8488×	body	80	nan
116.0ms	3548×	body	80	valid