Details

sample50.0ms

Algorithm

intervals

Results

12.0ms	152×	body	160	valid
10.0ms	523×	pre	80	true
8.0ms	267×	body	80	nan
3.0ms	104×	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: 29.4b

localize11.0ms

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))
29.2b	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite60.0ms

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)
37.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
12.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series261.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(- (* b b) (* (* 3.0 a) c))
19.0ms	(* (* 3.0 a) c)
110.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
83.0ms	(+ (- 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

prune262.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 9.3b

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

prune40.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 9.3b

localize7.0ms

Local error

Found 3 expressions with local error:

0.3b	(/ (* 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))
8.0ms	(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

series70.0ms

Counts

3 → 9

Calls

3 calls:

19.0ms	(/ (* a c) b)
31.0ms	(* -1.5 (/ (* a c) b))
21.0ms	(/ (* -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

prune197.0ms

Pruning

33 alts after pruning (32 fresh and 1 done)

Merged error: 9.2b

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1 (/ b (* a c)))
0.3b	(/ b (* a c))
0.3b	(* -1.5 (/ 1 (/ b (* a c))))
0.4b	(/ (* -1.5 (/ 1 (/ b (* a c)))) (* 3.0 a))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

161×	`add-exp-log`
77×	`add-cbrt-cube`
72×	`div-exp`
69×	`times-frac`
54×	`prod-exp`
44×	`add-sqr-sqrt`
38×	`*-un-lft-identity`
37×	`add-cube-cbrt`
32×	`cbrt-undiv`
26×	`associate-r`
22×	`cbrt-unprod`
12×	`rec-exp` `1-exp`
11×	`div-inv`
9×	`associate-/r*`
7×	`pow1` `associate-/l*`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg` `associate-l` `clear-num` `unswap-sqr`
2×	`associate-*r/` `associate-/r/` `un-div-inv` `associate-/l/`
1×	`pow-flip` `pow-prod-down` `*-commutative` `inv-pow`

Counts

4 → 189

Calls

4 calls:

6.0ms	(/ 1 (/ b (* a c)))
3.0ms	(/ b (* a c))
20.0ms	(* -1.5 (/ 1 (/ b (* a c))))
15.0ms	(/ (* -1.5 (/ 1 (/ b (* a c)))) (* 3.0 a))

series89.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(/ 1 (/ b (* a c)))
20.0ms	(/ b (* a c))
28.0ms	(* -1.5 (/ 1 (/ b (* a c))))
20.0ms	(/ (* -1.5 (/ 1 (/ b (* a c)))) (* 3.0 a))

simplify94.0ms

Algorithm

egg-herbie

Counts

201 → 201

Iterations

Useful iterations: 2 (76.0ms)

Iter	Nodes	Cost
0	717	1233
1	4013	976
2	5003	909

prune259.0ms

Pruning

33 alts after pruning (33 fresh and 0 done)

Merged error: 9.2b

regimes709.0ms

Accuracy

54.8% (6.2b remaining)

Error of 15.2b against oracle of 9.0b and baseline of 22.6b

bsearch4.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	30
1	30	30

end0.0ms

sample1.3s

Algorithm

intervals

Results

300.0ms	16491×	pre	80	true
290.0ms	4519×	body	160	valid
266.0ms	8491×	body	80	nan
113.0ms	3481×	body	80	valid