Details

sample52.0ms

Algorithm

intervals

Results

13.0ms	159×	body	160	valid
9.0ms	494×	pre	80	true
7.0ms	238×	body	80	nan
5.0ms	55×	body	320	valid
1.0ms	42×	body	80	valid

simplify12.0ms

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: 47.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (* b b) (* (* 3.0 a) c))
0.2b	(* (* 3.0 a) c)
0.3b	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
40.9b	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite63.0ms

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))
7.0ms	(* (* 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))))

series252.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(- (* b b) (* (* 3.0 a) c))
20.0ms	(* (* 3.0 a) c)
104.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
80.0ms	(+ (- 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

prune263.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 4.5b

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

prune34.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 4.5b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite24.0ms

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:

4.0ms	(/ (* a c) b)
9.0ms	(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))
9.0ms	(* -1.5 (/ (* a c) b))

series204.0ms

Counts

3 → 9

Calls

3 calls:

18.0ms	(/ (* a c) b)
158.0ms	(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))
27.0ms	(* -1.5 (/ (* a c) b))

simplify58.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (13.0ms)

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

prune183.0ms

Pruning

25 alts after pruning (24 fresh and 1 done)

Merged error: 4.4b

localize9.0ms

Local error

Found 3 expressions with local error:

0.3b	(* -1.5 (* a c))
0.3b	(* (* -1.5 (* a c)) (/ 1 b))
0.4b	(/ (* (* -1.5 (* a c)) (/ 1 b)) (* 3.0 a))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

166×	`add-exp-log`
94×	`add-cbrt-cube`
88×	`prod-exp`
46×	`cbrt-unprod`
44×	`div-exp`
23×	`cbrt-undiv`
17×	`pow1`
14×	`associate-r`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
10×	`times-frac`
9×	`rec-exp` `1-exp` `pow-prod-down`
4×	`associate-l`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`associate-r/` `un-div-inv` `-commutative` `div-inv` `associate-/l/`
1×	`frac-2neg` `clear-num` `associate-/r` `associate-/l`

Counts

3 → 124

Calls

3 calls:

6.0ms	(* -1.5 (* a c))
23.0ms	(* (* -1.5 (* a c)) (/ 1 b))
27.0ms	(/ (* (* -1.5 (* a c)) (/ 1 b)) (* 3.0 a))

series74.0ms

Counts

3 → 9

Calls

3 calls:

22.0ms	(* -1.5 (* a c))
31.0ms	(* (* -1.5 (* a c)) (/ 1 b))
21.0ms	(/ (* (* -1.5 (* a c)) (/ 1 b)) (* 3.0 a))

simplify92.0ms

Algorithm

egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 2 (81.0ms)

Iter	Nodes	Cost
0	629	936
1	4048	667
2	5002	654

prune137.0ms

Pruning

30 alts after pruning (29 fresh and 1 done)

Merged error: 4.3b

regimes493.0ms

Accuracy

28.5% (5.1b remaining)

Error of 10.3b against oracle of 5.1b and baseline of 12.3b

bsearch3.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	27
1	27	27

end0.0ms

sample1.4s

Algorithm

intervals

Results

308.0ms	4716×	body	160	valid
292.0ms	16246×	pre	80	true
258.0ms	8246×	body	80	nan
141.0ms	1405×	body	320	valid
67.0ms	1879×	body	80	valid