Details

sample58.0ms

Algorithm

intervals

Results

11.0ms	119×	body	320	valid
9.0ms	542×	pre	80	true
8.0ms	286×	body	80	nan
6.0ms	95×	body	160	valid
1.0ms	12×	body	640	valid
1.0ms	30×	body	80	valid

simplify12.0ms

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: 52.7b

localize14.0ms

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))
0.2b	(* (* 3.0 a) c)
27.9b	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite122.0ms

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:

10.0ms	(- (* b b) (* (* 3.0 a) c))
69.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
17.0ms	(* (* 3.0 a) c)
23.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series256.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(- (* b b) (* (* 3.0 a) c))
108.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
23.0ms	(* (* 3.0 a) c)
80.0ms	(+ (- 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

prune257.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 2.5b

localize4.0ms

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

prune23.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 2.5b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite56.0ms

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	(/ (* a c) b)
20.0ms	(* -1.5 (/ (* a c) b))
23.0ms	(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

series74.0ms

Counts

3 → 9

Calls

3 calls:

20.0ms	(/ (* a c) b)
32.0ms	(* -1.5 (/ (* a c) b))
22.0ms	(/ (* -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

prune171.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 2.5b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite145.0ms

Algorithm

rewrite-expression-head

Rules

153×	`add-exp-log`
89×	`add-cbrt-cube`
85×	`prod-exp`
45×	`cbrt-unprod`
36×	`div-exp`
20×	`cbrt-undiv`
17×	`pow1`
14×	`associate-r`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
10×	`times-frac`
9×	`pow-prod-down`
8×	`rec-exp` `1-exp`
7×	`associate-*r/`
4×	`associate-l`
3×	`expm1-log1p-u` `un-div-inv` `log1p-expm1-u` `add-log-exp`
2×	`*-commutative` `div-inv` `associate-/l/`
1×	`frac-2neg` `clear-num` `associate-/r` `associate-/l`

Counts

3 → 122

Calls

3 calls:

23.0ms	(* (* a c) (/ 1 b))
54.0ms	(* -1.5 (* (* a c) (/ 1 b)))
62.0ms	(/ (* -1.5 (* (* a c) (/ 1 b))) (* 3.0 a))

series73.0ms

Counts

3 → 9

Calls

3 calls:

20.0ms	(* (* a c) (/ 1 b))
28.0ms	(* -1.5 (* (* a c) (/ 1 b)))
25.0ms	(/ (* -1.5 (* (* a c) (/ 1 b))) (* 3.0 a))

simplify87.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 2 (78.0ms)

Iter	Nodes	Cost
0	624	891
1	4030	618
2	5001	603

prune144.0ms

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 2.5b

regimes328.0ms

Accuracy

0.6% (3.5b remaining)

Error of 6.1b against oracle of 2.7b and baseline of 6.1b

bsearch3.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	27
1	27	27

end0.0ms

sample1.6s

Algorithm

intervals

Results

334.0ms	3653×	body	320	valid
282.0ms	16264×	pre	80	true
254.0ms	8264×	body	80	nan
187.0ms	2976×	body	160	valid
59.0ms	470×	body	640	valid
28.0ms	901×	body	80	valid