Details

sample89.0ms

Algorithm

intervals

Results

21.0ms	148×	body	160	valid
21.0ms	268×	body	80	nan
20.0ms	524×	pre	80	true
9.0ms	108×	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

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

rewrite59.0ms

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)
35.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
12.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series258.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(- (* b b) (* (* 3.0 a) c))
20.0ms	(* (* 3.0 a) c)
108.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
81.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify59.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 2 (51.0ms)

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

prune257.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 9.1b

localize3.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify6.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune29.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 9.1b

localize8.0ms

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))

rewrite22.0ms

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))

series71.0ms

Counts

3 → 9

Calls

3 calls:

19.0ms	(/ (* a c) b)
28.0ms	(* -1.5 (/ (* a c) b))
24.0ms	(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

simplify58.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (12.0ms)

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

prune180.0ms

Pruning

24 alts after pruning (23 fresh and 1 done)

Merged error: 9.0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

97×	`add-exp-log` `add-cbrt-cube`
57×	`times-frac`
54×	`add-sqr-sqrt`
46×	`add-cube-cbrt` `*-un-lft-identity`
44×	`associate-r`
39×	`prod-exp` `cbrt-unprod`
31×	`cbrt-undiv` `div-exp` `sqrt-prod`
11×	`pow1`
7×	`associate-r/` `associate-/r`
4×	`expm1-log1p-u` `associate-l` `pow-prod-down` `log1p-expm1-u` `div-inv` `associate-/l*` `add-log-exp`
3×	`associate-/l/` `unswap-sqr`
2×	`frac-times` `frac-2neg` `associate-l/` `clear-num` `-commutative`

Counts

4 → 181

Calls

4 calls:

3.0ms	(/ c (sqrt b))
10.0ms	(* -1.5 (/ a (sqrt b)))
22.0ms	(* (* -1.5 (/ a (sqrt b))) (/ c (sqrt b)))
24.0ms	(/ (* (* -1.5 (/ a (sqrt b))) (/ c (sqrt b))) (* 3.0 a))

series196.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(/ c (sqrt b))
64.0ms	(* -1.5 (/ a (sqrt b)))
46.0ms	(* (* -1.5 (/ a (sqrt b))) (/ c (sqrt b)))
39.0ms	(/ (* (* -1.5 (/ a (sqrt b))) (/ c (sqrt b))) (* 3.0 a))

simplify39.0ms

Algorithm

egg-herbie

Counts

193 → 193

Iterations

Useful iterations: 1 (25.0ms)

Iter	Nodes	Cost
0	923	1583
1	5002	1232

prune368.0ms

Pruning

32 alts after pruning (31 fresh and 1 done)

Merged error: 9.0b

regimes733.0ms

Accuracy

59.3% (5.7b remaining)

Error of 14.7b against oracle of 9.0b and baseline of 23.0b

bsearch4.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	27
1	27	27

end0.0ms

sample2.6s

Algorithm

intervals

Results

674.0ms	8575×	body	80	nan
649.0ms	4398×	body	160	valid
568.0ms	16575×	pre	80	true
309.0ms	3602×	body	80	valid