Details

sample40.0ms

Algorithm

intervals

Results

13.0ms	419×	body	80	valid
8.0ms	419×	pre	80	true

simplify319.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	5
1	34	5
2	67	5
3	169	5
4	345	5
5	466	5
6	670	5
7	1014	5
8	1528	5
9	2117	5
10	3037	5
11	5001	5

prune4.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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: 0.2b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
11×	`*-un-lft-identity`
10×	`add-exp-log` `add-cbrt-cube`
7×	`add-cube-cbrt`
5×	`pow1` `associate-l` `add-log-exp`
3×	`flip3--` `times-frac` `associate-r` `associate-/r*` `flip--`
2×	`cbrt-undiv` `associate-r/` `div-exp` `associate-l/` `prod-exp` `cbrt-unprod` `associate-/l/` `distribute-lft-out--` `difference-of-squares`
1×	`sub-neg` `frac-2neg` `diff-log` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

3 → 59

Calls

3 calls:

8.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
6.0ms	(/ (* m (- 1.0 m)) v)
13.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series27.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
6.0ms	(/ (* m (- 1.0 m)) v)
16.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify36.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	285	432
1	1214	389
2	5001	374

prune109.0ms

Filtered

68 candidates to 46 candidates (32.4%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	60	8	68
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	61	8	69

Merged error: 0.0b

Counts

69 → 8

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

144×	`times-frac`
126×	`add-sqr-sqrt`
110×	`*-un-lft-identity`
74×	`add-cube-cbrt`
26×	`associate-/r*`
22×	`difference-of-squares`
18×	`distribute-lft-out--`
13×	`add-exp-log` `add-cbrt-cube`
11×	`associate-/r/`
7×	`flip3--` `associate-l` `flip--`
6×	`pow1` `div-inv` `associate-/l*` `add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`associate-r`
2×	`frac-2neg` `associate-*l/` `clear-num`
1×	`sub-neg` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 179

Calls

4 calls:

5.0ms	(/ v (- 1.0 m))
23.0ms	(- (/ m (/ v (- 1.0 m))) 1.0)
8.0ms	(/ m (/ v (- 1.0 m)))
26.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) m)

series24.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(/ v (- 1.0 m))
5.0ms	(- (/ m (/ v (- 1.0 m))) 1.0)
5.0ms	(/ m (/ v (- 1.0 m)))
7.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) m)

simplify79.0ms

Algorithm

egg-herbie

Counts

191 → 191

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	631	1428
1	3014	1368
2	5001	1367

prune234.0ms

Filtered

191 candidates to 143 candidates (25.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	191	0	191
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	191	8	199

Merged error: 0.0b

Counts

199 → 8

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* (* m (- 1.0 m)) (/ 1 v)) 1.0)
0.1b	(* (- (* (* m (- 1.0 m)) (/ 1 v)) 1.0) m)
0.3b	(* (* m (- 1.0 m)) (/ 1 v))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-exp-log`
17×	`add-cbrt-cube`
16×	`associate-r`
14×	`add-sqr-sqrt`
13×	`prod-exp`
12×	`add-cube-cbrt` `*-un-lft-identity`
10×	`pow1`
9×	`times-frac`
7×	`cbrt-unprod`
5×	`associate-*r/` `add-log-exp`
4×	`flip3--` `div-exp` `associate-l` `pow-prod-down` `associate-*l/` `flip--`
2×	`cbrt-undiv` `frac-times` `rec-exp` `1-exp` `*-commutative`
1×	`sub-neg` `diff-log` `un-div-inv` `div-inv` `unswap-sqr`

Counts

3 → 74

Calls

3 calls:

8.0ms	(- (* (* m (- 1.0 m)) (/ 1 v)) 1.0)
11.0ms	(* (- (* (* m (- 1.0 m)) (/ 1 v)) 1.0) m)
10.0ms	(* (* m (- 1.0 m)) (/ 1 v))

series18.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(- (* (* m (- 1.0 m)) (/ 1 v)) 1.0)
7.0ms	(* (- (* (* m (- 1.0 m)) (/ 1 v)) 1.0) m)
6.0ms	(* (* m (- 1.0 m)) (/ 1 v))

simplify55.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	419	581
1	2054	502
2	5003	481

prune91.0ms

Filtered

83 candidates to 51 candidates (38.6%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	83	0	83
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	83	8	91

Merged error: 0.0b

Counts

91 → 8

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (* m (- 1.0 m)) v) 1.0)
0.1b	(/ (* m (- 1.0 m)) v)
0.2b	(* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m))
0.4b	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m)) (sqrt m))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
16×	`add-exp-log` `add-cbrt-cube`
15×	`*-un-lft-identity`
12×	`associate-r`
11×	`pow1` `add-cube-cbrt`
7×	`sqrt-prod`
6×	`associate-l` `associate-*l/` `add-log-exp`
5×	`prod-exp` `cbrt-unprod`
4×	`flip3--` `pow-prod-down` `flip--`
3×	`times-frac` `associate-/r*`
2×	`cbrt-undiv` `associate-r/` `div-exp` `-commutative` `associate-/l/` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`sub-neg` `frac-2neg` `diff-log` `clear-num` `div-inv` `associate-/l*`

Counts

4 → 86

Calls

4 calls:

8.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
9.0ms	(/ (* m (- 1.0 m)) v)
12.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m))
13.0ms	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m)) (sqrt m))

series35.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
5.0ms	(/ (* m (- 1.0 m)) v)
13.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m))
11.0ms	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m)) (sqrt m))

simplify56.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	485	760
1	2166	669
2	5002	653

prune97.0ms

Filtered

98 candidates to 65 candidates (33.7%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	98	0	98
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	98	8	106

Merged error: 0.0b

Counts

106 → 8

regimes160.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	5
1	9	5

end0.0ms

sample977.0ms

Algorithm

intervals

Results

388.0ms	13599×	body	80	valid
239.0ms	13599×	pre	80	true

Details

sample40.0ms

simplify319.0ms

prune4.0ms

localize9.0ms

rewrite29.0ms

series27.0ms

simplify36.0ms

prune109.0ms

localize9.0ms

rewrite73.0ms

series24.0ms

simplify79.0ms

prune234.0ms

localize8.0ms

rewrite32.0ms

series18.0ms

simplify55.0ms

prune91.0ms

localize9.0ms

rewrite45.0ms

series35.0ms

simplify56.0ms

prune97.0ms

regimes160.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample977.0ms

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