Details

sample54.0ms

Algorithm

intervals

Results

11.0ms	121×	body	320	valid
9.0ms	92×	body	160	valid
9.0ms	475×	pre	80	true
7.0ms	219×	body	80	nan
1.0ms	10×	body	640	valid
1.0ms	33×	body	80	valid

simplify12.0ms

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: 51.7b

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (* b b) (* (* 3.0 a) c))
0.1b	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
0.2b	(* (* 3.0 a) c)
24.8b	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite57.0ms

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))
33.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
6.0ms	(* (* 3.0 a) c)
11.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series258.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(- (* b b) (* (* 3.0 a) c))
110.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
26.0ms	(* (* 3.0 a) c)
78.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify61.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (48.0ms)

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

prune171.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* 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)))))
0.3b	(/ (/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

rewrite355.0ms

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)
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)))))
176.0ms	(/ (/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series337.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* (* 3.0 a) c)
19.0ms	(* 3.0 (* a c))
169.0ms	(/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
129.0ms	(/ (/ (+ (- (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

171 → 171

Iterations

Useful iterations: 2 (87.0ms)

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

prune418.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (* 3.0 (* a c)) 3.0)
0.2b	(* (* 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)))))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

76×	`times-frac`
64×	`add-sqr-sqrt` `*-un-lft-identity`
37×	`add-exp-log` `add-cbrt-cube`
32×	`add-cube-cbrt`
16×	`distribute-lft-out--` `difference-of-squares`
14×	`pow1`
12×	`prod-exp` `cbrt-unprod`
10×	`cbrt-undiv` `div-exp` `associate-/r*` `div-inv`
8×	`distribute-rgt-neg-in` `sqrt-prod` `associate-/l*`
6×	`pow-prod-down`
4×	`associate-r` `associate-l` `add-log-exp`
2×	`frac-2neg` `clear-num` `associate-/r/` `*-commutative`
1×	`flip3--` `flip--` `associate-/l/`

Counts

4 → 143

Calls

4 calls:

6.0ms	(/ (* 3.0 (* a c)) 3.0)
6.0ms	(* (* 3.0 a) c)
6.0ms	(* 3.0 (* a c))
26.0ms	(/ (/ (* 3.0 (* a c)) 3.0) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))

series246.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(/ (* 3.0 (* a c)) 3.0)
19.0ms	(* (* 3.0 a) c)
24.0ms	(* 3.0 (* a c))
183.0ms	(/ (/ (* 3.0 (* a c)) 3.0) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))

simplify80.0ms

Algorithm

egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	584	1858
1	3026	1667
2	5002	1653

prune327.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* 3.0 a) c)
0.3b	(/ 3.0 (/ 3.0 (* a c)))
0.3b	(/ 3.0 (* a c))
0.3b	(/ (/ 3.0 (/ 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

458×	`times-frac`
270×	`add-sqr-sqrt` `*-un-lft-identity`
162×	`add-cube-cbrt`
54×	`distribute-lft-out--` `difference-of-squares`
39×	`div-inv`
37×	`add-exp-log` `add-cbrt-cube`
32×	`associate-/l*`
27×	`distribute-rgt-neg-in` `sqrt-prod`
16×	`cbrt-undiv` `div-exp`
15×	`associate-/r*`
11×	`associate-/r/`
9×	`pow1`
6×	`prod-exp` `cbrt-unprod`
4×	`add-log-exp`
3×	`frac-2neg` `associate-r` `pow-prod-down` `clear-num`
1×	`flip3--` `associate-l` `*-commutative` `flip--` `associate-/l/`

Counts

4 → 323

Calls

4 calls:

6.0ms	(* (* 3.0 a) c)
5.0ms	(/ 3.0 (/ 3.0 (* a c)))
3.0ms	(/ 3.0 (* a c))
35.0ms	(/ (/ 3.0 (/ 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))

series250.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* (* 3.0 a) c)
19.0ms	(/ 3.0 (/ 3.0 (* a c)))
26.0ms	(/ 3.0 (* a c))
185.0ms	(/ (/ 3.0 (/ 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))

simplify75.0ms

Algorithm

egg-herbie

Counts

335 → 335

Iterations

Useful iterations: 1 (26.0ms)

Iter	Nodes	Cost
0	1139	5482
1	5001	5000

prune834.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes66.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	12
1	19	12

end0.0ms

sample1.5s

Algorithm

intervals

Results

346.0ms	3637×	body	320	valid
285.0ms	16206×	pre	80	true
256.0ms	8206×	body	80	nan
184.0ms	2959×	body	160	valid
63.0ms	506×	body	640	valid
29.0ms	898×	body	80	valid