Details

sample283.0ms

Algorithm

intervals

Results

13.0ms	457×	body	80	valid
7.0ms	457×	pre	80	true

simplify97.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	16	6
1	40	6
2	105	6
3	354	6
4	1102	6
5	3189	6
6	5002	6

prune6.0ms

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: 0.1b

Counts

2 → 1

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(* m (- 1.0 m))
0.0b	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
0.1b	(/ (* m (- 1.0 m)) v)

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

67×	`add-sqr-sqrt`
48×	`*-un-lft-identity`
44×	`times-frac`
34×	`add-cube-cbrt`
30×	`associate-r`
22×	`associate-l`
14×	`associate-/l*`
12×	`add-exp-log` `add-cbrt-cube`
9×	`difference-of-squares`
8×	`flip3--` `flip--`
7×	`pow1` `distribute-lft-out--` `unswap-sqr`
6×	`associate-r/` `-commutative`
4×	`distribute-rgt-in` `frac-times` `sub-neg` `distribute-lft-in`
3×	`prod-exp` `associate-/r*` `cbrt-unprod` `add-log-exp`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-*l/` `associate-/l/`
1×	`frac-2neg` `clear-num` `div-inv`

Counts

3 → 137

Calls

3 calls:

6.0ms	(* m (- 1.0 m))
46.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
17.0ms	(/ (* m (- 1.0 m)) v)

series140.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(* m (- 1.0 m))
44.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
48.0ms	(/ (* m (- 1.0 m)) v)

simplify74.0ms

Algorithm

egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	552	991
1	2671	938
2	5001	932

prune208.0ms

Filtered

146 candidates to 102 candidates (69.9%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	142	4	146
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	143	4	147

Merged error: 0.0b

Counts

147 → 4

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- (* (- 1.0 m) (/ m v)) 1.0) (- 1.0 m))
0.1b	(* (- 1.0 m) (/ m v))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
30×	`*-un-lft-identity`
22×	`frac-times`
18×	`add-cube-cbrt` `associate-r`
16×	`flip3--` `associate-l` `flip--`
11×	`times-frac` `associate-*r/`
10×	`associate-/l*`
9×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
6×	`pow1` `distribute-lft-out--`
5×	`difference-of-squares` `unswap-sqr`
4×	`associate-*l/` `clear-num`
3×	`frac-2neg` `prod-exp` `cbrt-unprod`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `pow-prod-down` `un-div-inv` `*-commutative` `add-log-exp`
1×	`cbrt-undiv` `div-exp` `div-inv`

Counts

2 → 102

Calls

2 calls:

26.0ms	(* (- (* (- 1.0 m) (/ m v)) 1.0) (- 1.0 m))
13.0ms	(* (- 1.0 m) (/ m v))

series80.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(* (- (* (- 1.0 m) (/ m v)) 1.0) (- 1.0 m))
39.0ms	(* (- 1.0 m) (/ m v))

simplify76.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (66.0ms)

Iter	Nodes	Cost
0	500	802
1	2856	762
2	5001	756

prune163.0ms

Filtered

108 candidates to 75 candidates (69.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	108	4	112

Merged error: 0.0b

Counts

112 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- (sqrt 1.0) (sqrt m)) v)
0.0b	(* (- (* (* m (+ (sqrt 1.0) (sqrt m))) (/ (- (sqrt 1.0) (sqrt m)) v)) 1.0) (- 1.0 m))
0.1b	(* m (+ (sqrt 1.0) (sqrt m)))
0.6b	(* (* m (+ (sqrt 1.0) (sqrt m))) (/ (- (sqrt 1.0) (sqrt m)) v))

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

162×	`add-sqr-sqrt`
103×	`*-un-lft-identity`
64×	`sqrt-prod`
58×	`times-frac`
57×	`associate-*r/`
46×	`associate-r` `difference-of-squares`
44×	`add-cube-cbrt`
38×	`frac-times` `associate-/l*`
34×	`associate-l`
25×	`distribute-lft-out--`
22×	`add-exp-log` `add-cbrt-cube`
19×	`flip3-+` `flip-+`
15×	`unswap-sqr`
13×	`pow1`
12×	`associate-/r*`
10×	`flip3--` `flip--`
8×	`prod-exp` `cbrt-unprod` `associate-/l/`
5×	`pow-prod-down` `clear-num`
4×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `associate-l/` `-commutative` `distribute-lft-out` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `un-div-inv`
2×	`+-commutative` `sub-neg` `div-inv`
1×	`div-sub`

Counts

4 → 243

Calls

4 calls:

8.0ms	(/ (- (sqrt 1.0) (sqrt m)) v)
54.0ms	(* (- (* (* m (+ (sqrt 1.0) (sqrt m))) (/ (- (sqrt 1.0) (sqrt m)) v)) 1.0) (- 1.0 m))
8.0ms	(* m (+ (sqrt 1.0) (sqrt m)))
29.0ms	(* (* m (+ (sqrt 1.0) (sqrt m))) (/ (- (sqrt 1.0) (sqrt m)) v))

series702.0ms

Counts

4 → 12

Calls

4 calls:

109.0ms	(/ (- (sqrt 1.0) (sqrt m)) v)
150.0ms	(* (- (* (* m (+ (sqrt 1.0) (sqrt m))) (/ (- (sqrt 1.0) (sqrt m)) v)) 1.0) (- 1.0 m))
75.0ms	(* m (+ (sqrt 1.0) (sqrt m)))
368.0ms	(* (* m (+ (sqrt 1.0) (sqrt m))) (/ (- (sqrt 1.0) (sqrt m)) v))

simplify63.0ms

Algorithm

egg-herbie

Counts

255 → 255

Iterations

Useful iterations: 1 (30.0ms)

Iter	Nodes	Cost
0	1162	3124
1	5001	2796

prune468.0ms

Filtered

255 candidates to 169 candidates (66.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	255	0	255
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	255	4	259

Merged error: 0.0b

Counts

259 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m)))
0.3b	(cbrt (* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m)))
0.3b	(cbrt (* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m)))
0.4b	(* (cbrt (* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))) (cbrt (* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))))

rewrite189.0ms

Algorithm

rewrite-expression-head

Rules

168×	`cbrt-div`
154×	`cbrt-prod`
148×	`frac-times`
144×	`add-sqr-sqrt`
126×	`flip3--` `flip--`
79×	`*-un-lft-identity`
78×	`associate-l`
60×	`associate-r`
50×	`associate-r/` `associate-l/`
29×	`add-cube-cbrt` `swap-sqr` `unswap-sqr`
28×	`difference-of-squares`
20×	`distribute-lft-out--`
14×	`times-frac`
11×	`pow1`
9×	`pow1/3`
8×	`*-commutative` `add-cbrt-cube`
6×	`add-exp-log`
4×	`cbrt-unprod` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp`

Counts

4 → 283

Calls

4 calls:

32.0ms	(cbrt (* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m)))
30.0ms	(cbrt (* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m)))
30.0ms	(cbrt (* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m)))
77.0ms	(* (cbrt (* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))) (cbrt (* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))))

series629.0ms

Counts

4 → 12

Calls

4 calls:

150.0ms	(cbrt (* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m)))
149.0ms	(cbrt (* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m)))
150.0ms	(cbrt (* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m)))
179.0ms	(* (cbrt (* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))) (cbrt (* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))))

simplify114.0ms

Algorithm

egg-herbie

Counts

295 → 295

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	702	6903
1	2299	6735
2	5003	6529

prune739.0ms

Filtered

295 candidates to 201 candidates (68.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	295	0	295
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	295	4	299

Merged error: 0.0b

Counts

299 → 4

regimes70.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	6
1	10	6

end0.0ms

sample762.0ms

Algorithm

intervals

Results

332.0ms	13780×	body	80	valid
192.0ms	13780×	pre	80	true