Details

sample51.0ms

Algorithm

intervals

Results

10.0ms	147×	body	160	valid
10.0ms	530×	pre	80	true
9.0ms	274×	body	80	nan
4.0ms	44×	body	320	valid
2.0ms	65×	body	80	valid

simplify12.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 42.5b

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* 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))
39.0b	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite61.0ms

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))))

series254.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(- (* b b) (* (* 3.0 a) c))
20.0ms	(* (* 3.0 a) c)
106.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
81.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify61.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 2 (52.0ms)

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

prune269.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 5.0b

localize3.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify3.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune28.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 5.0b

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))

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))

series71.0ms

Counts

3 → 9

Calls

3 calls:

19.0ms	(/ (* a c) b)
30.0ms	(* -1.5 (/ (* a c) b))
21.0ms	(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

simplify59.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (13.0ms)

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

prune189.0ms

Pruning

26 alts after pruning (25 fresh and 1 done)

Merged error: 5.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.3b	(/ (* a c) b)
0.3b	(/ (/ (* a c) b) a)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

36×	`times-frac`
20×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
16×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/l*`
7×	`cbrt-undiv` `div-exp`
6×	`associate-/r*` `div-inv`
2×	`pow1` `expm1-log1p-u` `frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
1×	`associate-/l/`

Counts

2 → 73

Calls

2 calls:

3.0ms	(/ (* a c) b)
6.0ms	(/ (/ (* a c) b) a)

series31.0ms

Counts

2 → 6

Calls

2 calls:

20.0ms	(/ (* a c) b)
11.0ms	(/ (/ (* a c) b) a)

simplify39.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	291	399
1	1325	355
2	5002	331

prune158.0ms

Pruning

30 alts after pruning (30 fresh and 0 done)

Merged error: 4.9b

regimes410.0ms

Accuracy

12% (6.2b remaining)

Error of 11.3b against oracle of 5.1b and baseline of 12.1b

bsearch29.0ms

Steps

Iters	Range		Point
4	0.00041604429832352324	0.000705212992393252	0.0004216912615383077

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	19
1	25	19

end0.0ms

sample1.4s

Algorithm

intervals

Results

322.0ms	4867×	body	160	valid
294.0ms	16200×	pre	80	true
256.0ms	8200×	body	80	nan
135.0ms	1316×	body	320	valid
60.0ms	1817×	body	80	valid