Details

sample85.0ms

Algorithm

intervals

Results

19.0ms	305×	body	80	nan
18.0ms	152×	body	160	valid
16.0ms	561×	pre	80	true
9.0ms	40×	body	320	valid
4.0ms	64×	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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 44.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (* b b) (* (* 3.0 a) c))
0.3b	(* (* 3.0 a) c)
0.3b	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
38.2b	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite56.0ms

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:

2.0ms	(- (* b b) (* (* 3.0 a) c))
6.0ms	(* (* 3.0 a) c)
35.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
11.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series253.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(- (* b b) (* (* 3.0 a) c))
19.0ms	(* (* 3.0 a) c)
105.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
80.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify54.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (47.0ms)

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

prune177.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

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

rewrite356.0ms

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:

6.0ms	(* (* 3.0 a) c)
161.0ms	(/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
5.0ms	(* 3.0 (* a c))
177.0ms	(/ (/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series331.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* (* 3.0 a) c)
165.0ms	(/ (+ (- (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))

simplify115.0ms

Algorithm

egg-herbie

Counts

171 → 171

Iterations

Useful iterations: 2 (86.0ms)

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

prune447.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0b

localize19.0ms

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	(* (/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (/ 1 (* 3.0 a)))
0.3b	(* 3.0 (* a c))

rewrite413.0ms

Algorithm

rewrite-expression-head

Rules

64×	`add-sqr-sqrt`
61×	`add-exp-log`
59×	`*-un-lft-identity`
46×	`times-frac`
37×	`add-cbrt-cube`
31×	`add-cube-cbrt` `associate-l`
26×	`prod-exp`
16×	`pow1` `div-exp`
14×	`cbrt-unprod` `distribute-lft-out--` `difference-of-squares`
11×	`associate-r`
8×	`cbrt-undiv`
7×	`distribute-rgt-neg-in` `pow-prod-down` `associate-/r*` `sqrt-prod`
4×	`rec-exp` `1-exp` `associate-/r/` `add-log-exp`
3×	`-commutative` `div-inv` `associate-/l`
2×	`flip3--` `flip--` `associate-/l/` `unswap-sqr`
1×	`frac-times` `associate-+l-` `frac-2neg` `flip3-+` `div-sub` `associate-r/` `associate-l/` `clear-num` `un-div-inv` `flip-+`

Counts

4 → 153

Calls

4 calls:

6.0ms	(* (* 3.0 a) c)
160.0ms	(/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
234.0ms	(* (/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (/ 1 (* 3.0 a)))
6.0ms	(* 3.0 (* a c))

series337.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* (* 3.0 a) c)
170.0ms	(/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
126.0ms	(* (/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (/ 1 (* 3.0 a)))
20.0ms	(* 3.0 (* a c))

simplify135.0ms

Algorithm

egg-herbie

Counts

165 → 165

Iterations

Useful iterations: 2 (110.0ms)

Iter	Nodes	Cost
0	770	2724
1	4010	2117
2	5002	2061

prune420.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

369×	`add-exp-log`
182×	`div-exp`
154×	`add-cbrt-cube`
150×	`prod-exp`
134×	`times-frac`
66×	`add-sqr-sqrt` `*-un-lft-identity`
62×	`add-cube-cbrt`
60×	`cbrt-unprod`
57×	`cbrt-undiv`
50×	`1-exp`
22×	`div-inv`
20×	`rec-exp`
14×	`pow1` `associate-/l*`
8×	`associate-r`
6×	`pow-prod-down` `associate-/r*`
4×	`associate-r/` `associate-l*` `add-log-exp`
3×	`associate-/l/`
2×	`distribute-rgt-in` `sub-neg` `flip3--` `frac-2neg` `distribute-lft-in` `clear-num` `*-commutative` `flip--` `distribute-lft-out--` `difference-of-squares`
1×	`distribute-rgt-neg-in` `sqrt-prod` `associate-/r/`

Counts

4 → 264

Calls

4 calls:

35.0ms	(* (* 3.0 a) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
29.0ms	(/ (/ 1 1) (/ (* (* 3.0 a) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 (* a c))))
5.0ms	(* 3.0 (* a c))
23.0ms	(/ (* (* 3.0 a) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 (* a c)))

series414.0ms

Counts

4 → 12

Calls

4 calls:

109.0ms	(* (* 3.0 a) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
161.0ms	(/ (/ 1 1) (/ (* (* 3.0 a) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 (* a c))))
20.0ms	(* 3.0 (* a c))
124.0ms	(/ (* (* 3.0 a) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 (* a c)))

simplify69.0ms

Algorithm

egg-herbie

Counts

276 → 276

Iterations

Useful iterations: 1 (26.0ms)

Iter	Nodes	Cost
0	1356	5003
1	5001	3965

prune298.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

regimes130.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	20
1	28	20

end0.0ms

sample2.4s

Algorithm

intervals

Results

616.0ms	16200×	pre	80	true
592.0ms	4839×	body	160	valid
521.0ms	8200×	body	80	nan
231.0ms	1336×	body	320	valid
124.0ms	1825×	body	80	valid