Details

sample92.0ms

Algorithm

intervals

Results

22.0ms	282×	body	80	nan
21.0ms	144×	body	160	valid
19.0ms	538×	pre	80	true
12.0ms	112×	body	80	valid

simplify13.0ms

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.5b

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* 3.0 a) c)
0.2b	(- (* b b) (* (* 3.0 a) c))
0.4b	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
28.4b	(+ (- 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:

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

series255.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* (* 3.0 a) c)
43.0ms	(- (* b b) (* (* 3.0 a) c))
107.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
82.0ms	(+ (- 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

prune264.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 9.2b

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

prune34.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 9.2b

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))

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

series71.0ms

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))

simplify57.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (12.0ms)

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

prune187.0ms

Pruning

25 alts after pruning (24 fresh and 1 done)

Merged error: 9.1b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

158×	`add-exp-log`
92×	`add-cbrt-cube`
70×	`div-exp`
53×	`prod-exp`
37×	`cbrt-undiv`
29×	`times-frac` `cbrt-unprod`
22×	`add-sqr-sqrt`
20×	`add-cube-cbrt` `*-un-lft-identity`
10×	`associate-/r*`
9×	`rec-exp` `1-exp`
8×	`div-inv`
7×	`pow1` `associate-r`
6×	`associate-*r/` `associate-/r/`
5×	`associate-/l*`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg` `associate-l` `clear-num`
1×	`pow-flip` `pow-prod-down` `*-commutative` `inv-pow` `unswap-sqr`

Counts

4 → 162

Calls

4 calls:

20.0ms	(/ 1 (/ (* 3.0 a) (* -1.5 (/ (* a c) b))))
3.0ms	(/ (* a c) b)
8.0ms	(* -1.5 (/ (* a c) b))
8.0ms	(/ (* 3.0 a) (* -1.5 (/ (* a c) b)))

series92.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(/ 1 (/ (* 3.0 a) (* -1.5 (/ (* a c) b))))
24.0ms	(/ (* a c) b)
27.0ms	(* -1.5 (/ (* a c) b))
21.0ms	(/ (* 3.0 a) (* -1.5 (/ (* a c) b)))

simplify83.0ms

Algorithm

egg-herbie

Counts

174 → 174

Iterations

Useful iterations: 2 (71.0ms)

Iter	Nodes	Cost
0	600	1257
1	3599	978
2	5002	947

prune201.0ms

Pruning

30 alts after pruning (29 fresh and 1 done)

Merged error: 9.1b

regimes631.0ms

Accuracy

60.1% (5.5b remaining)

Error of 14.5b against oracle of 9.0b and baseline of 22.8b

bsearch3.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	27
1	27	27

end0.0ms

sample2.8s

Algorithm

intervals

Results

863.0ms	8431×	body	80	nan
680.0ms	4480×	body	160	valid
590.0ms	16431×	pre	80	true
310.0ms	3520×	body	80	valid