Details

sample99.0ms

Algorithm

intervals

Results

24.0ms	261×	body	80	nan
22.0ms	153×	body	160	valid
20.0ms	517×	pre	80	true
9.0ms	44×	body	320	valid
5.0ms	59×	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: 43.8b

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (* b b) (* (* 3.0 a) c))
0.2b	(* (* 3.0 a) c)
0.3b	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
39.0b	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite59.0ms

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:

3.0ms	(- (* b b) (* (* 3.0 a) c))
6.0ms	(* (* 3.0 a) c)
37.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
12.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series250.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(- (* b b) (* (* 3.0 a) c))
20.0ms	(* (* 3.0 a) c)
105.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
79.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify52.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (44.0ms)

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

prune182.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.2b

localize17.0ms

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))

rewrite384.0ms

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))
173.0ms	(/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
192.0ms	(/ (/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series330.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* (* 3.0 a) c)
19.0ms	(* 3.0 (* a c))
163.0ms	(/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
125.0ms	(/ (/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify109.0ms

Algorithm

egg-herbie

Counts

171 → 171

Iterations

Useful iterations: 2 (85.0ms)

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

prune424.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite120.0ms

Algorithm

rewrite-expression-head

Rules

521×	`times-frac`
319×	`add-sqr-sqrt` `*-un-lft-identity`
175×	`add-cube-cbrt`
72×	`distribute-lft-out--` `difference-of-squares`
63×	`associate-/l*`
52×	`add-exp-log` `add-cbrt-cube`
43×	`div-inv`
36×	`distribute-rgt-neg-in` `sqrt-prod`
22×	`cbrt-undiv` `div-exp`
13×	`associate-/r*`
12×	`prod-exp` `cbrt-unprod`
10×	`associate-/r/`
9×	`pow1`
5×	`flip3--` `flip--`
4×	`add-log-exp`
3×	`frac-2neg` `associate-l` `pow-prod-down` `clear-num`
2×	`associate-/l/`
1×	`associate-r` `*-commutative`

Counts

4 → 369

Calls

4 calls:

7.0ms	(/ (* 3.0 (* a c)) 3.0)
8.0ms	(* 3.0 (* a c))
51.0ms	(/ (/ (/ (* 3.0 (* a c)) 3.0) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)
30.0ms	(/ (/ (* 3.0 (* a c)) 3.0) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))

series375.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(/ (* 3.0 (* a c)) 3.0)
20.0ms	(* 3.0 (* a c))
150.0ms	(/ (/ (/ (* 3.0 (* a c)) 3.0) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)
185.0ms	(/ (/ (* 3.0 (* a c)) 3.0) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))

simplify86.0ms

Algorithm

egg-herbie

Counts

381 → 381

Iterations

Useful iterations: 1 (26.0ms)

Iter	Nodes	Cost
0	1186	7170
1	5002	6790

prune851.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite129.0ms

Algorithm

rewrite-expression-head

Rules

156×	`add-exp-log`
92×	`add-cbrt-cube`
62×	`prod-exp`
60×	`div-exp`
41×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
34×	`cbrt-unprod`
32×	`cbrt-undiv` `times-frac`
28×	`associate-r`
22×	`add-cube-cbrt`
11×	`pow1`
10×	`associate-l`
8×	`rec-exp` `1-exp`
6×	`associate-/r*` `distribute-lft-out--` `difference-of-squares`
4×	`pow-prod-down` `div-inv` `associate-/l/` `add-log-exp`
3×	`distribute-rgt-neg-in` `sqrt-prod` `unswap-sqr`
2×	`frac-times` `frac-2neg` `associate-r/` `associate-l/` `clear-num` `associate-/r/` `un-div-inv` `-commutative` `associate-/l`
1×	`flip3--` `flip--`

Counts

4 → 162

Calls

4 calls:

9.0ms	(/ (* 3.0 (* a c)) 3.0)
6.0ms	(* 3.0 (* a c))
34.0ms	(/ (* (/ (* 3.0 (* a c)) 3.0) (/ 1 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))) a)
71.0ms	(* (/ (* 3.0 (* a c)) 3.0) (/ 1 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))))

series379.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(/ (* 3.0 (* a c)) 3.0)
23.0ms	(* 3.0 (* a c))
149.0ms	(/ (* (/ (* 3.0 (* a c)) 3.0) (/ 1 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))) a)
186.0ms	(* (/ (* 3.0 (* a c)) 3.0) (/ 1 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))))

simplify118.0ms

Algorithm

egg-herbie

Counts

174 → 174

Iterations

Useful iterations: 2 (100.0ms)

Iter	Nodes	Cost
0	820	2262
1	4853	1602
2	5002	1585

prune301.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes103.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	13
1	25	13

end0.0ms

sample2.8s

Algorithm

intervals

Results

735.0ms	4885×	body	160	valid
689.0ms	8475×	body	80	nan
619.0ms	16475×	pre	80	true
272.0ms	1303×	body	320	valid
161.0ms	1812×	body	80	valid