Details

sample55.0ms

Algorithm

intervals

Results

10.0ms	166×	body	160	valid
9.0ms	541×	pre	80	true
8.0ms	285×	body	80	nan
3.0ms	37×	body	320	valid
2.0ms	53×	body	80	valid

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	9
1	42	9
2	76	9
3	94	9
4	102	9
5	102	9

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 44.8b

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (* 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))
41.1b	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
14×	`add-exp-log` `add-cbrt-cube`
10×	`add-log-exp`
9×	`pow1`
7×	`add-sqr-sqrt` `add-cube-cbrt`
6×	`distribute-lft-out`
5×	`times-frac` `associate-/l*`
4×	`prod-exp` `cbrt-unprod`
3×	`distribute-rgt-neg-in` `associate-r` `pow-prod-down`
2×	`cbrt-undiv` `neg-sub0` `associate-+l-` `flip3-+` `div-exp` `sum-log` `flip-+` `associate-/l/`
1×	`+-commutative` `sub-neg` `flip3--` `frac-2neg` `diff-log` `div-sub` `associate-l` `neg-log` `clear-num` `associate-/r` `-commutative` `flip--` `div-inv`

Counts

4 → 73

Calls

4 calls:

9.0ms	(- (* b b) (* (* 3.0 a) c))
17.0ms	(* (* 3.0 a) c)
64.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
20.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series222.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(- (* b b) (* (* 3.0 a) c))
20.0ms	(* (* 3.0 a) c)
94.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
69.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify56.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	419	716
1	1930	613
2	5002	608

prune169.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.3b

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* 3.0 a) c)
0.3b	(/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
0.3b	(* 3.0 (* a c))
0.4b	(/ (/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

rewrite580.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
80×	`add-sqr-sqrt` `*-un-lft-identity`
40×	`add-cube-cbrt`
30×	`associate-/l*`
28×	`add-exp-log` `add-cbrt-cube`
20×	`distribute-lft-out--` `difference-of-squares`
14×	`pow1`
10×	`distribute-rgt-neg-in` `sqrt-prod`
8×	`prod-exp` `associate-/r*` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp`
6×	`pow-prod-down` `associate-/r/`
4×	`associate-r` `associate-l` `div-inv` `add-log-exp`
3×	`flip3--` `div-sub` `flip--` `associate-/l/`
2×	`associate-+l-` `frac-2neg` `clear-num` `*-commutative`
1×	`flip3-+` `flip-+`

Counts

4 → 159

Calls

4 calls:

17.0ms	(* (* 3.0 a) c)
258.0ms	(/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
15.0ms	(* 3.0 (* a c))
283.0ms	(/ (/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series297.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(* (* 3.0 a) c)
147.0ms	(/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
17.0ms	(* 3.0 (* a c))
116.0ms	(/ (/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify112.0ms

Algorithm

egg-herbie

Counts

171 → 171

Iterations

Useful iterations: 2 (88.0ms)

Iter	Nodes	Cost
0	684	3100
1	3307	2567
2	5001	2533

prune417.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* 3.0 a) c)
0.3b	(* 3.0 (* a c))
0.3b	(/ (/ (* 3.0 (* a c)) 3.0) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
0.3b	(/ (/ (/ (* 3.0 (* a c)) 3.0) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)

rewrite199.0ms

Algorithm

rewrite-expression-head

Rules

518×	`times-frac`
318×	`add-sqr-sqrt` `*-un-lft-identity`
174×	`add-cube-cbrt`
72×	`distribute-lft-out--` `difference-of-squares`
62×	`associate-/l*`
48×	`add-exp-log` `add-cbrt-cube`
42×	`div-inv`
36×	`distribute-rgt-neg-in` `sqrt-prod`
19×	`cbrt-undiv` `div-exp`
14×	`pow1`
12×	`prod-exp` `cbrt-unprod`
10×	`associate-/r*` `associate-/r/`
6×	`pow-prod-down`
5×	`flip3--` `flip--`
4×	`associate-r` `associate-l` `add-log-exp`
2×	`frac-2neg` `clear-num` `*-commutative` `associate-/l/`

Counts

4 → 364

Calls

4 calls:

17.0ms	(* (* 3.0 a) c)
15.0ms	(* 3.0 (* a c))
53.0ms	(/ (/ (* 3.0 (* a c)) 3.0) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
88.0ms	(/ (/ (/ (* 3.0 (* a c)) 3.0) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)

series329.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(* (* 3.0 a) c)
18.0ms	(* 3.0 (* a c))
162.0ms	(/ (/ (* 3.0 (* a c)) 3.0) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
132.0ms	(/ (/ (/ (* 3.0 (* a c)) 3.0) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)

simplify86.0ms

Algorithm

egg-herbie

Counts

376 → 376

Iterations

Useful iterations: 1 (28.0ms)

Iter	Nodes	Cost
0	1226	7115
1	5002	6756

prune775.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* 3.0 a) c)
0.3b	(* (/ 3.0 (* (cbrt 3.0) (cbrt 3.0))) (/ (/ (/ (* a c) (cbrt 3.0)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a))
0.4b	(/ (/ (* a c) (cbrt 3.0)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
0.4b	(/ (* a c) (cbrt 3.0))

rewrite314.0ms

Algorithm

rewrite-expression-head

Rules

700×	`times-frac`
401×	`add-sqr-sqrt`
383×	`*-un-lft-identity`
235×	`associate-r`
219×	`add-cube-cbrt`
98×	`add-exp-log`
93×	`cbrt-prod`
82×	`distribute-lft-out--` `difference-of-squares`
78×	`add-cbrt-cube`
44×	`cbrt-undiv` `div-exp`
41×	`distribute-rgt-neg-in` `sqrt-prod`
36×	`div-inv`
28×	`prod-exp` `cbrt-unprod`
13×	`associate-/r*`
11×	`pow1` `associate-/l*`
8×	`associate-l` `associate-/r/`
6×	`unswap-sqr`
4×	`flip3--` `pow-prod-down` `flip--` `add-log-exp`
2×	`frac-2neg` `clear-num` `*-commutative`
1×	`frac-times` `associate-r/` `associate-l/` `associate-/l/`

Counts

4 → 438

Calls

4 calls:

17.0ms	(* (* 3.0 a) c)
200.0ms	(* (/ 3.0 (* (cbrt 3.0) (cbrt 3.0))) (/ (/ (/ (* a c) (cbrt 3.0)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a))
49.0ms	(/ (/ (* a c) (cbrt 3.0)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
10.0ms	(/ (* a c) (cbrt 3.0))

series884.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(* (* 3.0 a) c)
227.0ms	(* (/ 3.0 (* (cbrt 3.0) (cbrt 3.0))) (/ (/ (/ (* a c) (cbrt 3.0)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a))
566.0ms	(/ (/ (* a c) (cbrt 3.0)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
73.0ms	(/ (* a c) (cbrt 3.0))

simplify102.0ms

Algorithm

egg-herbie

Counts

450 → 450

Iterations

Useful iterations: 1 (39.0ms)

Iter	Nodes	Cost
0	2149	7637
1	5002	7101

prune1.2s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

regimes100.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	13
1	25	13

end0.0ms

sample1.5s

Algorithm

intervals

Results

319.0ms	4894×	body	160	valid
282.0ms	16550×	pre	80	true
269.0ms	8550×	body	80	nan
134.0ms	1337×	body	320	valid
58.0ms	1769×	body	80	valid