Details

sample50.0ms

Algorithm

intervals

Results

11.0ms	134×	body	160	valid
9.0ms	510×	pre	80	true
8.0ms	254×	body	80	nan
4.0ms	122×	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

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* 3.0 a) c)
0.3b	(- (* b b) (* (* 3.0 a) c))
0.4b	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
26.8b	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite31.0ms

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:

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

series251.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* (* 3.0 a) c)
48.0ms	(- (* b b) (* (* 3.0 a) c))
104.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
79.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify54.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (46.0ms)

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

prune205.0ms

Filtered

85 candidates to 59 candidates (69.4%)

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.5b

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b	(- (* b b) (* (* 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))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 153

Calls

4 calls:

4.0ms	(- (* b b) (* (* 3.0 a) c))
27.0ms	(/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
5.0ms	(* 3.0 (* a c))
33.0ms	(/ (/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series354.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(- (* b b) (* (* 3.0 a) c))
164.0ms	(/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
19.0ms	(* 3.0 (* a c))
127.0ms	(/ (/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify111.0ms

Algorithm

egg-herbie

Counts

165 → 165

Iterations

Useful iterations: 2 (83.0ms)

Iter	Nodes	Cost
0	701	3126
1	3188	2612
2	5003	2569

prune500.0ms

Filtered

165 candidates to 105 candidates (63.6%)

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

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

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

624×	`times-frac`
364×	`add-sqr-sqrt` `*-un-lft-identity`
168×	`add-cube-cbrt`
155×	`distribute-rgt-neg-in`
106×	`distribute-lft-neg-in` `neg-mul-1`
98×	`distribute-lft-out--` `difference-of-squares`
54×	`associate-/l*`
49×	`sqrt-prod`
21×	`add-exp-log` `add-cbrt-cube`
16×	`associate-/r/`
14×	`pow1`
13×	`associate-/r*`
9×	`div-inv`
8×	`flip3--` `flip--`
6×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`cbrt-undiv` `div-exp` `add-log-exp`
3×	`div-sub` `distribute-frac-neg`
2×	`neg-sub0` `frac-2neg` `associate-l` `clear-num` `*-commutative`
1×	`associate-/l/`

Counts

4 → 466

Calls

4 calls:

5.0ms	(* (* 3.0 a) c)
5.0ms	(* (* 3.0 a) c)
13.0ms	(/ (- (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
28.0ms	(/ (/ (- (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (- (* 3.0 a)))

series375.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* (* 3.0 a) c)
20.0ms	(* (* 3.0 a) c)
181.0ms	(/ (- (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
154.0ms	(/ (/ (- (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (- (* 3.0 a)))

simplify111.0ms

Algorithm

egg-herbie

Counts

478 → 478

Iterations

Useful iterations: 1 (29.0ms)

Iter	Nodes	Cost
0	1469	10124
1	5002	9855

prune1.2s

Filtered

478 candidates to 290 candidates (60.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite720.0ms

Algorithm

rewrite-expression-head

Rules

13631×	`times-frac`
5692×	`add-sqr-sqrt` `*-un-lft-identity`
3952×	`add-cube-cbrt`
1588×	`distribute-rgt-neg-in`
1153×	`distribute-lft-neg-in` `neg-mul-1`
870×	`distribute-lft-out--` `difference-of-squares`
435×	`sqrt-prod`
338×	`div-inv`
315×	`associate-/r/`
194×	`associate-/r*`
146×	`flip3--` `flip--`
44×	`add-exp-log`
35×	`add-cbrt-cube`
28×	`associate-/l*`
27×	`div-exp`
18×	`cbrt-undiv`
9×	`pow1`
6×	`add-log-exp`
3×	`1-exp` `div-sub` `distribute-frac-neg` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`neg-sub0` `frac-2neg` `clear-num`
1×	`sub-neg` `diff-log` `associate-l` `*-commutative` `associate-/l/`

Counts

4 → 4134

Calls

4 calls:

4.0ms	(- (* b b) (* (* 3.0 a) c))
5.0ms	(* (* 3.0 a) c)
120.0ms	(/ (/ (- (* 3.0 a)) 1) (/ (- (* 3.0 a)) (/ c (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))))
18.0ms	(/ (- (* 3.0 a)) (/ c (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))))

series379.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(- (* b b) (* (* 3.0 a) c))
19.0ms	(* (* 3.0 a) c)
148.0ms	(/ (/ (- (* 3.0 a)) 1) (/ (- (* 3.0 a)) (/ c (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))))
164.0ms	(/ (- (* 3.0 a)) (/ c (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))))

simplify1.0s

Algorithm

egg-herbie

Counts

4146 → 4146

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5292	128692

prune13.2s

Filtered

4146 candidates to 2553 candidates (61.6%)

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

regimes178.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 8 (3.0ms)

Iter	Nodes	Cost
0	32	21
1	36	21
2	40	21
3	43	21
4	45	21
5	47	21
6	50	21
7	54	21
8	60	20
9	60	20

end0.0ms

sample1.4s

Algorithm

intervals

Results

309.0ms	16495×	pre	80	true
300.0ms	4435×	body	160	valid
267.0ms	8495×	body	80	nan
124.0ms	3565×	body	80	valid