Details

sample52.0ms

Algorithm

intervals

Results

9.0ms	565×	pre	80	true
9.0ms	309×	body	80	nan
8.0ms	139×	body	160	valid
4.0ms	117×	body	80	valid

simplify12.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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: 28.5b

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b	(- (* 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))
28.3b	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite113.0ms

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:

7.0ms	(- (* b b) (* (* 3.0 a) c))
16.0ms	(* (* 3.0 a) c)
64.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
24.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series225.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(- (* b b) (* (* 3.0 a) c))
17.0ms	(* (* 3.0 a) c)
94.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
72.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify57.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (49.0ms)

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

prune174.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.4b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite565.0ms

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)
16.0ms	(* 3.0 (* a c))
273.0ms	(/ (/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))
253.0ms	(/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))

series296.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* (* 3.0 a) c)
17.0ms	(* 3.0 (* a c))
110.0ms	(/ (/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))
149.0ms	(/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))

simplify110.0ms

Algorithm

egg-herbie

Counts

171 → 171

Iterations

Useful iterations: 2 (86.0ms)

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

prune408.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 132

Calls

4 calls:

7.0ms	(- (* b b) (* (* 3.0 a) c))
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)))))

series234.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(- (* b b) (* (* 3.0 a) c))
17.0ms	(* (* 3.0 a) c)
17.0ms	(* 3.0 (* a c))
158.0ms	(/ (/ (* 3.0 (* a c)) 3.0) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))

simplify90.0ms

Algorithm

egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	621	1824
1	3405	1665
2	5002	1665

prune299.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite261.0ms

Algorithm

rewrite-expression-head

Rules

317×	`times-frac`
237×	`add-sqr-sqrt`
226×	`*-un-lft-identity`
141×	`add-cube-cbrt`
113×	`add-exp-log`
89×	`associate-r`
73×	`add-cbrt-cube`
45×	`div-exp`
42×	`distribute-lft-out--` `difference-of-squares`
41×	`prod-exp`
27×	`cbrt-unprod` `associate-/l*`
24×	`cbrt-undiv`
21×	`distribute-rgt-neg-in` `sqrt-prod`
16×	`pow1`
14×	`associate-/r/`
11×	`associate-l`
10×	`div-inv`
7×	`flip3--` `pow-prod-down` `flip--`
5×	`rec-exp` `1-exp`
4×	`add-log-exp` `unswap-sqr`
3×	`associate-/r` `-commutative`
1×	`frac-times` `frac-2neg` `associate-r/` `associate-l/` `clear-num` `associate-/l/`

Counts

4 → 304

Calls

4 calls:

17.0ms	(* (* 3.0 a) c)
15.0ms	(* 3.0 (* a c))
63.0ms	(/ (/ 1 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)
147.0ms	(* (/ (* 3.0 (* a c)) 3.0) (/ (/ 1 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a))

series285.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(* (* 3.0 a) c)
17.0ms	(* 3.0 (* a c))
109.0ms	(/ (/ 1 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)
141.0ms	(* (/ (* 3.0 (* a c)) 3.0) (/ (/ 1 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a))

simplify73.0ms

Algorithm

egg-herbie

Counts

316 → 316

Iterations

Useful iterations: 1 (29.0ms)

Iter	Nodes	Cost
0	1286	4850
1	5002	4259

prune611.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

regimes155.0ms

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	29	22
1	29	22

end0.0ms

sample1.4s

Algorithm

intervals

Results

279.0ms	16731×	pre	80	true
277.0ms	4483×	body	160	valid
256.0ms	8731×	body	80	nan
110.0ms	3517×	body	80	valid