Details

sample48.0ms

Algorithm

intervals

Results

9.0ms	142×	body	160	valid
8.0ms	531×	pre	80	true
8.0ms	275×	body	80	nan
4.0ms	114×	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: 28.8b

localize13.0ms

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))
28.6b	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite116.0ms

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))
17.0ms	(* (* 3.0 a) c)
65.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
21.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series250.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(- (* 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))
77.0ms	(+ (- 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

prune251.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 9.4b

localize3.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify2.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune35.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 9.4b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite53.0ms

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:

17.0ms	(* -1.5 (/ (* a c) b))
10.0ms	(/ (* a c) b)
24.0ms	(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

series73.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(* -1.5 (/ (* a c) b))
24.0ms	(/ (* a c) b)
21.0ms	(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

simplify56.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (12.0ms)

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

prune172.0ms

Pruning

28 alts after pruning (27 fresh and 1 done)

Merged error: 9.3b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-exp-log` `add-cbrt-cube`
24×	`prod-exp` `cbrt-unprod`
13×	`pow1`
9×	`cbrt-undiv` `div-exp`
6×	`pow-prod-down`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`associate-r` `associate-l`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`*-commutative`
1×	`frac-2neg` `times-frac` `clear-num` `associate-/r` `div-inv` `associate-/l`

Counts

3 → 73

Calls

3 calls:

17.0ms	(* (* 3.0 a) b)
16.0ms	(* -1.5 (* a c))
34.0ms	(/ (* -1.5 (* a c)) (* (* 3.0 a) b))

series64.0ms

Counts

3 → 9

Calls

3 calls:

20.0ms	(* (* 3.0 a) b)
21.0ms	(* -1.5 (* a c))
23.0ms	(/ (* -1.5 (* a c)) (* (* 3.0 a) b))

simplify74.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	359	466
1	2848	326
2	5002	326

prune95.0ms

Pruning

32 alts after pruning (31 fresh and 1 done)

Merged error: 9.3b

regimes597.0ms

Accuracy

47.2% (7.3b remaining)

Error of 16.3b against oracle of 9.0b and baseline of 22.8b

bsearch15.0ms

Steps

Iters	Range		Point
2	1371.9871385570748	1559.5892924188688	1395.437407789799

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	18
1	24	18

end0.0ms

sample1.4s

Algorithm

intervals

Results

278.0ms	4399×	body	160	valid
272.0ms	16613×	pre	80	true
259.0ms	8613×	body	80	nan
115.0ms	3600×	body	80	valid
0.0ms	1×	body	320	valid