Details

sample102.0ms

Algorithm

intervals

Results

25.0ms	110×	body	320	valid
19.0ms	242×	body	80	nan
18.0ms	498×	pre	80	true
14.0ms	94×	body	160	valid
5.0ms	20×	body	640	valid
3.0ms	32×	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: 52.2b

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (* b b) (* (* 3.0 a) c))
0.2b	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
0.2b	(* (* 3.0 a) c)
26.4b	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite58.0ms

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))
34.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
6.0ms	(* (* 3.0 a) c)
14.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series266.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(- (* b b) (* (* 3.0 a) c))
111.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
20.0ms	(* (* 3.0 a) c)
83.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify56.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (48.0ms)

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

prune177.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize18.0ms

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

rewrite367.0ms

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:

7.0ms	(* (* 3.0 a) c)
6.0ms	(* 3.0 (* a c))
165.0ms	(/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
183.0ms	(/ (/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series350.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* (* 3.0 a) c)
22.0ms	(* 3.0 (* a c))
171.0ms	(/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
130.0ms	(/ (/ (+ (- (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

prune431.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (* 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)))))

rewrite115.0ms

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:

9.0ms	(/ (* 3.0 (* a c)) 3.0)
6.0ms	(* 3.0 (* a c))
49.0ms	(/ (/ (/ (* 3.0 (* a c)) 3.0) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)
31.0ms	(/ (/ (* 3.0 (* a c)) 3.0) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))

series378.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(/ (* 3.0 (* a c)) 3.0)
20.0ms	(* 3.0 (* a c))
153.0ms	(/ (/ (/ (* 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)))))

simplify85.0ms

Algorithm

egg-herbie

Counts

381 → 381

Iterations

Useful iterations: 1 (25.0ms)

Iter	Nodes	Cost
0	1186	7170
1	5002	6790

prune862.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite958.0ms

Algorithm

rewrite-expression-head

Rules

12766×	`times-frac`
5971×	`add-sqr-sqrt` `*-un-lft-identity`
4091×	`add-cube-cbrt`
940×	`distribute-lft-out--` `difference-of-squares`
815×	`div-inv`
728×	`associate-/l*`
470×	`distribute-rgt-neg-in` `sqrt-prod`
124×	`add-exp-log`
92×	`add-cbrt-cube`
90×	`div-exp`
72×	`associate-/r/`
67×	`associate-/r*`
60×	`cbrt-undiv`
8×	`1-exp` `prod-exp`
6×	`cbrt-unprod`
4×	`pow1` `frac-2neg` `clear-num` `associate-/l/` `add-log-exp`
1×	`flip3--` `div-sub` `flip--`

Counts

4 → 3769

Calls

4 calls:

49.0ms	(/ (/ 3.0 1) (/ (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (/ (* a c) 3.0)))
3.0ms	(/ (* a c) 3.0)
207.0ms	(/ (/ (/ 3.0 1) (/ (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (/ (* a c) 3.0))) a)
35.0ms	(/ (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (/ (* a c) 3.0))

series430.0ms

Counts

4 → 12

Calls

4 calls:

168.0ms	(/ (/ 3.0 1) (/ (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (/ (* a c) 3.0)))
23.0ms	(/ (* a c) 3.0)
127.0ms	(/ (/ (/ 3.0 1) (/ (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (/ (* a c) 3.0))) a)
112.0ms	(/ (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (/ (* a c) 3.0))

simplify829.0ms

Algorithm

egg-herbie

Counts

3781 → 3781

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5001	98061

prune8.7s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes90.0ms

Accuracy

0% (0.4b 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	20	12
1	20	12

end0.0ms

sample3.0s

Algorithm

intervals

Results

759.0ms	3694×	body	320	valid
651.0ms	8178×	body	80	nan
584.0ms	16178×	pre	80	true
430.0ms	2923×	body	160	valid
136.0ms	500×	body	640	valid
76.0ms	883×	body	80	valid