Details

sample59.0ms

Algorithm

intervals

Results

13.0ms	161×	body	160	valid
11.0ms	282×	body	80	nan
10.0ms	538×	pre	80	true
5.0ms	43×	body	320	valid
2.0ms	52×	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: 44.2b

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* b b) (* (* 3.0 a) c))
0.3b	(* (* 3.0 a) c)
0.3b	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
39.2b	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite115.0ms

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)
66.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
20.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series227.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(- (* b b) (* (* 3.0 a) c))
20.0ms	(* (* 3.0 a) c)
96.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
70.0ms	(+ (- 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

prune309.0ms

Pruning

5 alts after pruning (5 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))

rewrite581.0ms

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)
257.0ms	(/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
15.0ms	(* 3.0 (* a c))
285.0ms	(/ (/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series294.0ms

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))
112.0ms	(/ (/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify113.0ms

Algorithm

egg-herbie

Counts

171 → 171

Iterations

Useful iterations: 2 (86.0ms)

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

prune1.2s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite357.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-exp-log` `add-cbrt-cube`
19×	`pow1`
13×	`add-sqr-sqrt` `*-un-lft-identity`
12×	`prod-exp` `cbrt-unprod`
11×	`associate-r`
9×	`add-cube-cbrt` `pow-prod-down`
5×	`associate-l`
4×	`associate-*r/` `add-log-exp`
3×	`cbrt-undiv` `times-frac` `div-exp` `-commutative` `associate-/l`
2×	`distribute-rgt-in` `sub-neg` `flip3--` `distribute-lft-in` `associate-/r/` `flip--` `associate-/l/` `distribute-lft-out--` `difference-of-squares`
1×	`associate-+l-` `distribute-rgt-neg-in` `frac-2neg` `flip3-+` `div-sub` `clear-num` `associate-/r*` `sqrt-prod` `flip-+` `div-inv`

Counts

4 → 92

Calls

4 calls:

17.0ms	(* (* 3.0 a) c)
16.0ms	(* 3.0 (* a c))
251.0ms	(/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (* (* 3.0 a) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))))
70.0ms	(* (* 3.0 a) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))

series247.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(* (* 3.0 a) c)
20.0ms	(* 3.0 (* a c))
112.0ms	(/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (* (* 3.0 a) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))))
98.0ms	(* (* 3.0 a) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))

simplify94.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (84.0ms)

Iter	Nodes	Cost
0	520	1134
1	2898	850
2	5002	826

prune579.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite229.0ms

Algorithm

rewrite-expression-head

Rules

171×	`add-exp-log`
97×	`add-cbrt-cube`
78×	`prod-exp`
56×	`div-exp`
42×	`cbrt-unprod`
28×	`cbrt-undiv`
20×	`add-sqr-sqrt` `*-un-lft-identity` `times-frac`
16×	`add-cube-cbrt`
15×	`pow1`
10×	`rec-exp` `1-exp`
8×	`associate-r`
6×	`pow-prod-down` `associate-/r*` `div-inv`
4×	`associate-r/` `associate-l` `associate-/l` `add-log-exp`
2×	`distribute-rgt-in` `sub-neg` `flip3--` `frac-2neg` `distribute-lft-in` `clear-num` `*-commutative` `flip--` `associate-/l/` `distribute-lft-out--` `difference-of-squares`
1×	`pow-flip` `distribute-rgt-neg-in` `sqrt-prod` `associate-/r/` `inv-pow`

Counts

4 → 155

Calls

4 calls:

16.0ms	(* 3.0 (* a c))
81.0ms	(/ 1 (/ (* (* 3.0 a) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 (* a c))))
70.0ms	(* (* 3.0 a) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
54.0ms	(/ (* (* 3.0 a) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 (* a c)))

series364.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(* 3.0 (* a c))
141.0ms	(/ 1 (/ (* (* 3.0 a) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 (* a c))))
98.0ms	(* (* 3.0 a) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
108.0ms	(/ (* (* 3.0 a) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 (* a c)))

simplify136.0ms

Algorithm

egg-herbie

Counts

167 → 167

Iterations

Useful iterations: 2 (113.0ms)

Iter	Nodes	Cost
0	727	2553
1	4673	1935
2	5001	1904

prune488.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

regimes394.0ms

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	25	16
1	25	16

end0.0ms

sample1.6s

Algorithm

intervals

Results

383.0ms	4787×	body	160	valid
314.0ms	8274×	body	80	nan
301.0ms	16274×	pre	80	true
166.0ms	1387×	body	320	valid
77.0ms	1826×	body	80	valid