Details

sample292.0ms

Algorithm

intervals

Results

12.0ms	457×	body	80	valid
7.0ms	457×	pre	80	true

simplify88.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	6
1	40	6
2	112	6
3	393	6
4	1344	6
5	4072	6
6	5001	6

prune4.0ms

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

localize10.0ms

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)

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

91×	`add-sqr-sqrt`
72×	`*-un-lft-identity`
58×	`add-cube-cbrt`
44×	`times-frac`
36×	`prod-diff`
30×	`associate-r`
22×	`distribute-rgt-in` `distribute-lft-in` `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×	`frac-times` `sub-neg`
3×	`expm1-log1p-u` `prod-exp` `associate-/r*` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-*l/` `associate-/l/`
1×	`frac-2neg` `clear-num` `div-inv`

Counts

3 → 179

Calls

3 calls:

7.0ms	(* m (- 1.0 m))
48.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
13.0ms	(/ (* m (- 1.0 m)) v)

series138.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(* m (- 1.0 m))
43.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
48.0ms	(/ (* m (- 1.0 m)) v)

simplify98.0ms

Algorithm

egg-herbie

Counts

188 → 188

Iterations

Useful iterations: 2 (76.0ms)

Iter	Nodes	Cost
0	662	1662
1	3307	1355
2	5001	1349

prune239.0ms

Filtered

188 candidates to 112 candidates (59.6%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	184	4	188
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	185	4	189

Merged error: 0.0b

Counts

189 → 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))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

50×	`add-sqr-sqrt`
42×	`*-un-lft-identity`
30×	`add-cube-cbrt`
22×	`frac-times`
18×	`associate-r` `prod-diff`
16×	`flip3--` `associate-l` `flip--`
11×	`distribute-rgt-in` `distribute-lft-in` `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×	`expm1-log1p-u` `sub-neg` `pow-prod-down` `un-div-inv` `*-commutative` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `div-exp` `div-inv`

Counts

2 → 124

Calls

2 calls:

30.0ms	(* (- (* (- 1.0 m) (/ m v)) 1.0) (- 1.0 m))
11.0ms	(* (- 1.0 m) (/ m v))

series78.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(* (- (* (- 1.0 m) (/ m v)) 1.0) (- 1.0 m))
38.0ms	(* (- 1.0 m) (/ m v))

simplify98.0ms

Algorithm

egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 2 (84.0ms)

Iter	Nodes	Cost
0	589	1202
1	3318	1051
2	5002	1045

prune179.0ms

Filtered

130 candidates to 81 candidates (62.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	130	0	130
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	130	4	134

Merged error: 0.0b

Counts

134 → 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))

rewrite118.0ms

Algorithm

rewrite-expression-head

Rules

174×	`add-sqr-sqrt`
115×	`*-un-lft-identity`
64×	`sqrt-prod`
58×	`times-frac`
57×	`associate-*r/`
56×	`add-cube-cbrt`
46×	`associate-r` `difference-of-squares`
38×	`frac-times` `associate-/l*`
34×	`associate-l`
25×	`distribute-lft-out--`
22×	`add-exp-log` `add-cbrt-cube`
19×	`flip3-+` `flip-+`
18×	`prod-diff`
15×	`unswap-sqr`
13×	`pow1` `distribute-rgt-in` `distribute-lft-in`
12×	`associate-/r*`
10×	`flip3--` `flip--`
8×	`prod-exp` `cbrt-unprod` `associate-/l/`
5×	`pow-prod-down` `clear-num`
4×	`expm1-log1p-u` `frac-2neg` `associate-l/` `-commutative` `log1p-expm1-u` `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 → 269

Calls

4 calls:

11.0ms	(/ (- (sqrt 1.0) (sqrt m)) v)
53.0ms	(* (- (* (* m (+ (sqrt 1.0) (sqrt m))) (/ (- (sqrt 1.0) (sqrt m)) v)) 1.0) (- 1.0 m))
11.0ms	(* m (+ (sqrt 1.0) (sqrt m)))
29.0ms	(* (* m (+ (sqrt 1.0) (sqrt m))) (/ (- (sqrt 1.0) (sqrt m)) v))

series664.0ms

Counts

4 → 12

Calls

4 calls:

102.0ms	(/ (- (sqrt 1.0) (sqrt m)) v)
140.0ms	(* (- (* (* m (+ (sqrt 1.0) (sqrt m))) (/ (- (sqrt 1.0) (sqrt m)) v)) 1.0) (- 1.0 m))
70.0ms	(* m (+ (sqrt 1.0) (sqrt m)))
351.0ms	(* (* m (+ (sqrt 1.0) (sqrt m))) (/ (- (sqrt 1.0) (sqrt m)) v))

simplify66.0ms

Algorithm

egg-herbie

Counts

281 → 281

Iterations

Useful iterations: 1 (31.0ms)

Iter	Nodes	Cost
0	1271	3894
1	5002	3363

prune513.0ms

Filtered

281 candidates to 179 candidates (63.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	281	0	281
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	281	4	285

Merged error: 0.0b

Counts

285 → 4

localize12.0ms

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))))

rewrite201.0ms

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×	`expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp`

Counts

4 → 291

Calls

4 calls:

35.0ms	(cbrt (* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m)))
31.0ms	(cbrt (* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m)))
35.0ms	(cbrt (* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m)))
79.0ms	(* (cbrt (* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))) (cbrt (* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))))

series612.0ms

Counts

4 → 12

Calls

4 calls:

143.0ms	(cbrt (* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m)))
145.0ms	(cbrt (* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m)))
147.0ms	(cbrt (* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m)))
176.0ms	(* (cbrt (* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))) (cbrt (* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))))

simplify116.0ms

Algorithm

egg-herbie

Counts

303 → 303

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	719	6983
1	2374	6814
2	5001	6607

prune740.0ms

Filtered

303 candidates to 209 candidates (69.0%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	303	0	303
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	303	4	307

Merged error: 0.0b

Counts

307 → 4

regimes70.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	6
1	10	6

end0.0ms

sample744.0ms

Algorithm

intervals

Results

339.0ms	13780×	body	80	valid
185.0ms	13780×	pre	80	true