Details

sample56.0ms

Algorithm

intervals

Results

12.0ms	123×	body	320	valid
10.0ms	521×	pre	80	true
8.0ms	265×	body	80	nan
6.0ms	97×	body	160	valid
2.0ms	14×	body	640	valid
1.0ms	22×	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

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 53.9b

Counts

2 → 1

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))
0.3b	(* (* 3.0 a) c)
27.0b	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite34.0ms

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:

4.0ms	(- (* b b) (* (* 3.0 a) c))
12.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
8.0ms	(* (* 3.0 a) c)
8.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series260.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(- (* b b) (* (* 3.0 a) c))
108.0ms	(/ (+ (- 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))))

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

prune164.0ms

Filtered

85 candidates to 59 candidates (69.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	82	3	85
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	83	3	86

Merged error: 0.1b

Counts

86 → 3

localize19.0ms

Local error

Found 4 expressions with local error:

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)
0.3b	(* 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))

rewrite75.0ms

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:

25.0ms	(/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
5.0ms	(* (* 3.0 a) c)
5.0ms	(* 3.0 (* a c))
32.0ms	(/ (/ (+ (- (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:

167.0ms	(/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
19.0ms	(* (* 3.0 a) c)
19.0ms	(* 3.0 (* a c))
131.0ms	(/ (/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify116.0ms

Algorithm

egg-herbie

Counts

171 → 171

Iterations

Useful iterations: 2 (86.0ms)

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

prune402.0ms

Filtered

171 candidates to 106 candidates (62.0%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	166	5	171
Fresh	1	1	2
Picked	0	1	1
Done	0	0	0
Total	167	7	174

Merged error: 0b

Counts

174 → 7

localize16.0ms

Local error

Found 4 expressions with local error:

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)
0.3b	(* (* 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))

rewrite74.0ms

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×	`associate-r` `pow-prod-down` `associate-/r/`
4×	`div-inv` `add-log-exp`
3×	`flip3--` `div-sub` `flip--` `associate-/l/`
2×	`associate-+l-` `frac-2neg` `associate-l` `clear-num` `*-commutative`
1×	`flip3-+` `flip-+`

Counts

4 → 159

Calls

4 calls:

25.0ms	(/ (+ (- (pow b 2) (pow b 2)) (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
5.0ms	(* (* 3.0 a) c)
8.0ms	(* (* 3.0 a) c)
29.0ms	(/ (/ (+ (- (pow b 2) (pow b 2)) (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series338.0ms

Counts

4 → 12

Calls

4 calls:

167.0ms	(/ (+ (- (pow b 2) (pow b 2)) (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
20.0ms	(* (* 3.0 a) c)
24.0ms	(* (* 3.0 a) c)
127.0ms	(/ (/ (+ (- (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 (83.0ms)

Iter	Nodes	Cost
0	627	3101
1	3139	2568
2	5001	2534

prune373.0ms

Filtered

171 candidates to 105 candidates (61.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	171	0	171
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	171	7	178

Merged error: 0b

Counts

178 → 7

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite79.0ms

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:

28.0ms	(/ (/ (/ (* 3.0 (* a c)) 3.0) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)
5.0ms	(* 3.0 (* a c))
15.0ms	(/ (/ (* 3.0 (* a c)) 3.0) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
6.0ms	(/ (* 3.0 (* a c)) 3.0)

series380.0ms

Counts

4 → 12

Calls

4 calls:

152.0ms	(/ (/ (/ (* 3.0 (* a c)) 3.0) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)
20.0ms	(* 3.0 (* a c))
186.0ms	(/ (/ (* 3.0 (* a c)) 3.0) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
21.0ms	(/ (* 3.0 (* a c)) 3.0)

simplify93.0ms

Algorithm

egg-herbie

Counts

381 → 381

Iterations

Useful iterations: 1 (28.0ms)

Iter	Nodes	Cost
0	1186	7170
1	5001	6790

prune782.0ms

Filtered

381 candidates to 224 candidates (58.8%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	380	1	381
Fresh	1	3	4
Picked	0	1	1
Done	0	2	2
Total	381	7	388

Merged error: 0b

Counts

388 → 7

regimes132.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	16
1	20	16

end0.0ms

sample1.6s

Algorithm

intervals

Results

359.0ms	3652×	body	320	valid
313.0ms	16091×	pre	80	true
257.0ms	8091×	body	80	nan
193.0ms	2908×	body	160	valid
74.0ms	552×	body	640	valid
30.0ms	888×	body	80	valid

Details

sample56.0ms

simplify12.0ms

prune3.0ms

localize11.0ms

rewrite34.0ms

series260.0ms

simplify57.0ms

prune164.0ms

localize19.0ms

rewrite75.0ms

series337.0ms

simplify116.0ms

prune402.0ms

localize16.0ms

rewrite74.0ms

series338.0ms

simplify109.0ms

prune373.0ms

localize16.0ms

rewrite79.0ms

series380.0ms

simplify93.0ms

prune782.0ms

regimes132.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.6s

Profiling