Details

sample290.0ms

Algorithm

intervals

Results

10.0ms	421×	body	80	valid
6.0ms	421×	pre	80	true

simplify122.0ms

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

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

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 85

Calls

4 calls:

8.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
6.0ms	(* m (- 1.0 m))
7.0ms	(/ (* m (- 1.0 m)) v)
14.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series155.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
50.0ms	(* m (- 1.0 m))
37.0ms	(/ (* m (- 1.0 m)) v)
45.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify50.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	334	532
1	1558	477
2	5002	465

prune182.0ms

Filtered

97 candidates to 63 candidates (64.9%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	88	9	97
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	89	9	98

Merged error: 0b

Counts

98 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 95

Calls

4 calls:

6.0ms	(* v (+ 1.0 m))
6.0ms	(* m (- (* 1.0 1.0) (* m m)))
11.0ms	(/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m)))
15.0ms	(* (- (/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m))) 1.0) m)

series237.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(* v (+ 1.0 m))
69.0ms	(* m (- (* 1.0 1.0) (* m m)))
71.0ms	(/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m)))
65.0ms	(* (- (/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m))) 1.0) m)

simplify83.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	485	814
1	2982	680
2	5002	680

prune215.0ms

Filtered

107 candidates to 70 candidates (65.4%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	104	3	107
Fresh	3	5	8
Picked	0	1	1
Done	0	0	0
Total	107	9	116

Merged error: 0b

Counts

116 → 9

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 78

Calls

3 calls:

8.0ms	(- (* (/ m v) (- 1.0 m)) 1.0)
9.0ms	(* (/ m v) (- 1.0 m))
11.0ms	(* (- (* (/ m v) (- 1.0 m)) 1.0) m)

series96.0ms

Counts

3 → 9

Calls

3 calls:

23.0ms	(- (* (/ m v) (- 1.0 m)) 1.0)
39.0ms	(* (/ m v) (- 1.0 m))
34.0ms	(* (- (* (/ m v) (- 1.0 m)) 1.0) m)

simplify41.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	352	520
1	1465	464
2	5002	461

prune160.0ms

Filtered

87 candidates to 57 candidates (65.5%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	85	2	87
Fresh	2	5	7
Picked	0	1	1
Done	0	1	1
Total	87	9	96

Merged error: 0b

Counts

96 → 9

localize7.0ms

Local error

Found 4 expressions with local error:

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

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 108

Calls

4 calls:

7.0ms	(- (* m (/ (- 1.0 m) v)) 1.0)
6.0ms	(/ (- 1.0 m) v)
12.0ms	(* (- (* m (/ (- 1.0 m) v)) 1.0) m)
10.0ms	(* m (/ (- 1.0 m) v))

series129.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(- (* m (/ (- 1.0 m) v)) 1.0)
31.0ms	(/ (- 1.0 m) v)
38.0ms	(* (- (* m (/ (- 1.0 m) v)) 1.0) m)
37.0ms	(* m (/ (- 1.0 m) v))

simplify51.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	392	684
1	1724	626
2	5001	614

prune210.0ms

Filtered

120 candidates to 81 candidates (67.5%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	119	1	120
Fresh	1	5	6
Picked	0	1	1
Done	0	2	2
Total	120	9	129

Merged error: 0b

Counts

129 → 9

regimes90.0ms

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

sample724.0ms

Algorithm

intervals

Results

314.0ms	13470×	body	80	valid
180.0ms	13470×	pre	80	true