Details

sample289.0ms

Algorithm

intervals

Results

11.0ms	424×	body	80	valid
6.0ms	424×	pre	80	true

simplify89.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

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: 0.1b

Counts

2 → 1

localize9.0ms

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)

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
36×	`prod-diff`
33×	`add-cube-cbrt`
22×	`distribute-rgt-in` `distribute-lft-in`
12×	`add-exp-log` `add-cbrt-cube`
10×	`associate-r`
8×	`flip3--` `associate-l` `flip--`
7×	`pow1`
6×	`associate-*r/`
4×	`frac-times` `sub-neg`
3×	`expm1-log1p-u` `times-frac` `prod-exp` `associate-/r*` `cbrt-unprod` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `associate-/l/` `unswap-sqr`
1×	`frac-2neg` `clear-num` `div-inv` `associate-/l*`

Counts

3 → 125

Calls

3 calls:

7.0ms	(* m (- 1.0 m))
18.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
11.0ms	(/ (* m (- 1.0 m)) v)

series134.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(* m (- 1.0 m))
37.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
47.0ms	(/ (* m (- 1.0 m)) v)

simplify80.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 2 (66.0ms)

Iter	Nodes	Cost
0	500	1273
1	2527	968
2	5002	962

prune208.0ms

Filtered

134 candidates to 71 candidates (53.0%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	129	5	134
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	130	5	135

Merged error: 0b

Counts

135 → 5

localize15.0ms

Local error

Found 4 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)
0.1b	(/ (* m (- 1.0 m)) v)

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

46×	`add-sqr-sqrt`
42×	`*-un-lft-identity`
36×	`add-cube-cbrt` `prod-diff`
22×	`distribute-rgt-in` `distribute-lft-in`
18×	`add-exp-log` `add-cbrt-cube`
10×	`associate-r`
9×	`flip3--` `flip--`
8×	`pow1` `associate-r/` `associate-l*`
6×	`times-frac` `associate-/r*`
4×	`cbrt-undiv` `expm1-log1p-u` `frac-times` `sub-neg` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `associate-/l/` `add-log-exp`
3×	`distribute-lft-out--` `difference-of-squares`
2×	`frac-2neg` `pow-prod-down` `associate-l/` `clear-num` `-commutative` `div-inv` `associate-/l*` `unswap-sqr`

Counts

4 → 150

Calls

4 calls:

7.0ms	(* m (- 1.0 m))
17.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
8.0ms	(/ (* m (- 1.0 m)) v)
8.0ms	(/ (* m (- 1.0 m)) v)

series158.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(* m (- 1.0 m))
35.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
40.0ms	(/ (* m (- 1.0 m)) v)
37.0ms	(/ (* m (- 1.0 m)) v)

simplify79.0ms

Algorithm

egg-herbie

Counts

162 → 162

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	500	1400
1	2527	1082
2	5002	1070

prune331.0ms

Filtered

162 candidates to 91 candidates (56.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	158	4	162
Fresh	4	0	4
Picked	0	1	1
Done	0	0	0
Total	162	5	167

Merged error: 0b

Counts

167 → 5

localize29.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (* m (- 1.0 m)) v)
0.1b	(* m (- (pow 1.0 3) (pow m 3)))
0.1b	(* (fma 1.0 1.0 (fma m m (* 1.0 m))) v)
0.1b	(/ (* m (- (pow 1.0 3) (pow m 3))) (* (fma 1.0 1.0 (fma m m (* 1.0 m))) v))

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

288×	`prod-diff`
182×	`add-sqr-sqrt`
164×	`*-un-lft-identity`
156×	`unpow-prod-down` `cube-prod`
154×	`add-cube-cbrt`
146×	`distribute-rgt-in` `distribute-lft-in`
56×	`sqr-pow`
48×	`cube-mult` `unpow3`
28×	`associate-r`
25×	`add-exp-log` `add-cbrt-cube`
16×	`difference-of-squares`
8×	`pow1`
7×	`prod-exp` `cbrt-unprod`
6×	`cbrt-undiv` `associate-r/` `div-exp` `associate-l*`
5×	`distribute-lft-out--`
4×	`expm1-log1p-u` `times-frac` `associate-/r*` `log1p-expm1-u` `associate-/l/` `add-log-exp`
3×	`flip3--` `flip--`
2×	`sub-neg` `frac-2neg` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l` `unswap-sqr`
1×	`difference-cubes`

Counts

4 → 406

Calls

4 calls:

9.0ms	(/ (* m (- 1.0 m)) v)
31.0ms	(* m (- (pow 1.0 3) (pow m 3)))
4.0ms	(* (fma 1.0 1.0 (fma m m (* 1.0 m))) v)
34.0ms	(/ (* m (- (pow 1.0 3) (pow m 3))) (* (fma 1.0 1.0 (fma m m (* 1.0 m))) v))

series301.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(/ (* m (- 1.0 m)) v)
95.0ms	(* m (- (pow 1.0 3) (pow m 3)))
40.0ms	(* (fma 1.0 1.0 (fma m m (* 1.0 m))) v)
123.0ms	(/ (* m (- (pow 1.0 3) (pow m 3))) (* (fma 1.0 1.0 (fma m m (* 1.0 m))) v))

simplify91.0ms

Algorithm

egg-herbie

Counts

418 → 418

Iterations

Useful iterations: 1 (30.0ms)

Iter	Nodes	Cost
0	1043	4751
1	5002	3326

prune482.0ms

Filtered

418 candidates to 86 candidates (20.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	418	0	418
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	418	5	423

Merged error: 0b

Counts

423 → 5

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

80×	`sqrt-prod`
72×	`prod-diff`
71×	`add-sqr-sqrt`
69×	`*-un-lft-identity`
59×	`add-cube-cbrt`
39×	`distribute-rgt-in` `distribute-lft-in`
32×	`frac-times`
23×	`flip3--` `flip--`
21×	`add-exp-log` `add-cbrt-cube`
16×	`associate-*l/`
14×	`associate-r/` `associate-r*`
12×	`flip3-+` `flip-+`
11×	`pow1`
6×	`times-frac` `associate-l` `prod-exp` `associate-/r*` `cbrt-unprod`
5×	`difference-of-squares`
4×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `pow-prod-down` `log1p-expm1-u` `associate-/l/` `add-log-exp`
3×	`distribute-lft-out--`
2×	`sub-neg` `frac-2neg` `clear-num` `-commutative` `div-inv` `distribute-lft-out` `associate-/l`
1×	`unswap-sqr`

Counts

4 → 212

Calls

4 calls:

8.0ms	(/ (* m (- 1.0 m)) v)
8.0ms	(/ (* m (- 1.0 m)) v)
32.0ms	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
17.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m)))

series362.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(/ (* m (- 1.0 m)) v)
42.0ms	(/ (* m (- 1.0 m)) v)
137.0ms	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
147.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m)))

simplify69.0ms

Algorithm

egg-herbie

Counts

224 → 224

Iterations

Useful iterations: 1 (28.0ms)

Iter	Nodes	Cost
0	1120	4566
1	5002	3696

prune608.0ms

Filtered

224 candidates to 129 candidates (57.6%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	224	0	224
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	224	5	229

Merged error: 0b

Counts

229 → 5

regimes57.0ms

Accuracy

0% (0.1b 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	19	14
1	19	14

end0.0ms

sample721.0ms

Algorithm

intervals

Results

324.0ms	13801×	body	80	valid
178.0ms	13801×	pre	80	true