Details

sample59.0ms

Algorithm

intervals

Results

11.0ms	118×	body	320	valid
10.0ms	543×	pre	80	true
9.0ms	287×	body	80	nan
6.0ms	93×	body	160	valid
5.0ms	14×	body	640	valid
1.0ms	31×	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

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 52.4b

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (* b b) (* (* 3.0 a) c))
0.2b	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
0.3b	(* (* 3.0 a) c)
26.7b	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite32.0ms

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:

4.0ms	(- (* b b) (* (* 3.0 a) c))
12.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
5.0ms	(* (* 3.0 a) c)
8.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series246.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(- (* b b) (* (* 3.0 a) c))
102.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
23.0ms	(* (* 3.0 a) c)
78.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify59.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 2 (50.0ms)

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

prune248.0ms

Filtered

105 candidates to 78 candidates (74.3%)

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 2.9b

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 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune24.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 2.9b

localize7.0ms

Local error

Found 3 expressions with local error:

0.2b	(* -1.5 (/ (* a c) b))
0.3b	(/ (* a c) b)
0.5b	(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

rewrite26.0ms

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:

10.0ms	(* -1.5 (/ (* a c) b))
5.0ms	(/ (* a c) b)
9.0ms	(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

series65.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(* -1.5 (/ (* a c) b))
18.0ms	(/ (* a c) b)
20.0ms	(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

simplify57.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (11.0ms)

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

prune159.0ms

Filtered

93 candidates to 54 candidates (58.1%)

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 2.9b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt b) (cbrt b))
0.6b	(cbrt b)
0.6b	(cbrt b)
0.6b	(cbrt b)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

6.0ms	(* (cbrt b) (cbrt b))
1.0ms	(cbrt b)
1.0ms	(cbrt b)
1.0ms	(cbrt b)

series723.0ms

Counts

4 → 12

Calls

4 calls:

194.0ms	(* (cbrt b) (cbrt b))
178.0ms	(cbrt b)
174.0ms	(cbrt b)
176.0ms	(cbrt b)

simplify139.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (84.0ms)

Iter	Nodes	Cost
0	119	308
1	477	281
2	2972	258
3	5001	255

prune224.0ms

Filtered

93 candidates to 72 candidates (77.4%)

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 2.9b

regimes368.0ms

Accuracy

0% (3.3b remaining)

Error of 5.9b against oracle of 2.6b and baseline of 5.9b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	2
1	6	2

end0.0ms

sample1.6s

Algorithm

intervals

Results

351.0ms	3626×	body	320	valid
306.0ms	16106×	pre	80	true
255.0ms	8106×	body	80	nan
197.0ms	2977×	body	160	valid
73.0ms	539×	body	640	valid
28.0ms	858×	body	80	valid