Details

sample300.0ms

Algorithm

intervals

Results

13.0ms	426×	body	80	valid
9.0ms	426×	pre	80	true

simplify123.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

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: 0.2b

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

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 71

Calls

3 calls:

6.0ms	(* m (- 1.0 m))
7.0ms	(/ (* m (- 1.0 m)) v)
13.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series151.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(* m (- 1.0 m))
37.0ms	(/ (* m (- 1.0 m)) v)
63.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify48.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	310	409
1	1511	363
2	5001	357

prune142.0ms

Filtered

80 candidates to 52 candidates (65.0%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	72	8	80
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	72	9	81

Merged error: 0b

Counts

81 → 9

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 98

Calls

4 calls:

6.0ms	(* m (- 1.0 m))
7.0ms	(/ (* m (- 1.0 m)) v)
13.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m))
18.0ms	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m)) (sqrt m))

series216.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(* m (- 1.0 m))
42.0ms	(/ (* m (- 1.0 m)) v)
79.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m))
49.0ms	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m)) (sqrt m))

simplify67.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	436	720
1	2105	615
2	5002	605

prune171.0ms

Filtered

110 candidates to 67 candidates (60.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	108	2	110
Fresh	3	4	7
Picked	1	0	1
Done	0	1	1
Total	112	7	119

Merged error: 0b

Counts

119 → 7

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- 1.0 m) v)
0.2b	(* (- (* m (/ (- 1.0 m) v)) 1.0) (sqrt m))
0.3b	(* m (/ (- 1.0 m) v))
0.4b	(* (* (- (* m (/ (- 1.0 m) v)) 1.0) (sqrt m)) (sqrt m))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 123

Calls

4 calls:

6.0ms	(/ (- 1.0 m) v)
15.0ms	(* (- (* m (/ (- 1.0 m) v)) 1.0) (sqrt m))
9.0ms	(* m (/ (- 1.0 m) v))
14.0ms	(* (* (- (* m (/ (- 1.0 m) v)) 1.0) (sqrt m)) (sqrt m))

series201.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(/ (- 1.0 m) v)
73.0ms	(* (- (* m (/ (- 1.0 m) v)) 1.0) (sqrt m))
42.0ms	(* m (/ (- 1.0 m) v))
48.0ms	(* (* (- (* m (/ (- 1.0 m) v)) 1.0) (sqrt m)) (sqrt m))

simplify68.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	495	886
1	2307	778
2	5003	768

prune220.0ms

Filtered

135 candidates to 90 candidates (66.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	135	0	135
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	135	7	142

Merged error: 0b

Counts

142 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (/ (* m (- 1.0 m)) v)) (cbrt (/ (* m (- 1.0 m)) v)))
0.5b	(cbrt (/ (* m (- 1.0 m)) v))
0.5b	(cbrt (/ (* m (- 1.0 m)) v))
0.5b	(cbrt (/ (* m (- 1.0 m)) v))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

53×	`cbrt-prod`
30×	`add-sqr-sqrt`
22×	`add-cube-cbrt` `*-un-lft-identity`
21×	`times-frac`
11×	`pow1`
10×	`swap-sqr` `associate-r` `associate-l`
9×	`pow1/3`
7×	`cbrt-div` `div-inv`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 103

Calls

4 calls:

9.0ms	(* (cbrt (/ (* m (- 1.0 m)) v)) (cbrt (/ (* m (- 1.0 m)) v)))
5.0ms	(cbrt (/ (* m (- 1.0 m)) v))
8.0ms	(cbrt (/ (* m (- 1.0 m)) v))
5.0ms	(cbrt (/ (* m (- 1.0 m)) v))

series405.0ms

Counts

4 → 12

Calls

4 calls:

113.0ms	(* (cbrt (/ (* m (- 1.0 m)) v)) (cbrt (/ (* m (- 1.0 m)) v)))
95.0ms	(cbrt (/ (* m (- 1.0 m)) v))
97.0ms	(cbrt (/ (* m (- 1.0 m)) v))
100.0ms	(cbrt (/ (* m (- 1.0 m)) v))

simplify47.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	340	1297
1	1139	1232
2	5001	1173

prune291.0ms

Filtered

115 candidates to 93 candidates (80.9%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	115	0	115
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	115	7	122

Merged error: 0b

Counts

122 → 7

regimes83.0ms

Accuracy

0% (0.2b 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	10	5
1	10	5

end0.0ms

sample890.0ms

Algorithm

intervals

Results

400.0ms	13757×	body	80	valid
250.0ms	13757×	pre	80	true

Details

sample300.0ms

simplify123.0ms

prune3.0ms

localize9.0ms

rewrite29.0ms

series151.0ms

simplify48.0ms

prune142.0ms

localize10.0ms

rewrite48.0ms

series216.0ms

simplify67.0ms

prune171.0ms

localize9.0ms

rewrite48.0ms

series201.0ms

simplify68.0ms

prune220.0ms

localize11.0ms

rewrite30.0ms

series405.0ms

simplify47.0ms

prune291.0ms

regimes83.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample890.0ms

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