Details

sample290.0ms

Algorithm

intervals

Results

15.0ms	456×	body	80	valid
10.0ms	456×	pre	80	true

simplify118.0ms

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 (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

localize11.0ms

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)

rewrite54.0ms

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:

22.0ms	(- (/ (* 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)

series163.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
52.0ms	(* m (- 1.0 m))
40.0ms	(/ (* m (- 1.0 m)) v)
46.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify50.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (42.0ms)

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

prune163.0ms

Filtered

97 candidates to 63 candidates (64.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	90	7	97
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	90	8	98

Merged error: 0.0b

Counts

98 → 8

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 100

Calls

4 calls:

9.0ms	(- (* (* m (- 1.0 m)) (/ 1 v)) 1.0)
6.0ms	(* m (- 1.0 m))
12.0ms	(* (- (* (* m (- 1.0 m)) (/ 1 v)) 1.0) m)
11.0ms	(* (* m (- 1.0 m)) (/ 1 v))

series155.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(- (* (* m (- 1.0 m)) (/ 1 v)) 1.0)
51.0ms	(* m (- 1.0 m))
37.0ms	(* (- (* (* m (- 1.0 m)) (/ 1 v)) 1.0) m)
42.0ms	(* (* m (- 1.0 m)) (/ 1 v))

simplify63.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	457	681
1	2382	590
2	5002	569

prune156.0ms

Filtered

112 candidates to 66 candidates (58.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	110	2	112
Fresh	3	3	6
Picked	1	0	1
Done	0	1	1
Total	114	6	120

Merged error: 0.0b

Counts

120 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- (* (/ (* m (- 1.0 m)) (sqrt v)) (/ 1 (sqrt v))) 1.0) m)
0.3b	(* (/ (* m (- 1.0 m)) (sqrt v)) (/ 1 (sqrt v)))
0.3b	(/ (* m (- 1.0 m)) (sqrt v))
0.4b	(/ 1 (sqrt v))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

55×	`add-sqr-sqrt`
54×	`add-exp-log`
52×	`times-frac`
43×	`*-un-lft-identity`
41×	`add-cube-cbrt`
34×	`add-cbrt-cube`
32×	`sqrt-prod`
25×	`associate-r`
18×	`div-exp` `prod-exp`
13×	`associate-l`
12×	`associate-/r*`
10×	`pow1` `cbrt-undiv` `cbrt-unprod`
6×	`unswap-sqr`
4×	`rec-exp` `1-exp` `div-inv` `associate-/l*` `add-log-exp`
3×	`pow-flip` `associate-r/` `associate-l/`
2×	`flip3--` `frac-2neg` `pow-prod-down` `clear-num` `*-commutative` `flip--` `associate-/l/`
1×	`frac-times` `sqrt-pow1` `pow1/2` `un-div-inv` `inv-pow`

Counts

4 → 162

Calls

4 calls:

14.0ms	(* (- (* (/ (* m (- 1.0 m)) (sqrt v)) (/ 1 (sqrt v))) 1.0) m)
18.0ms	(* (/ (* m (- 1.0 m)) (sqrt v)) (/ 1 (sqrt v)))
8.0ms	(/ (* m (- 1.0 m)) (sqrt v))
5.0ms	(/ 1 (sqrt v))

series192.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(* (- (* (/ (* m (- 1.0 m)) (sqrt v)) (/ 1 (sqrt v))) 1.0) m)
53.0ms	(* (/ (* m (- 1.0 m)) (sqrt v)) (/ 1 (sqrt v)))
57.0ms	(/ (* m (- 1.0 m)) (sqrt v))
36.0ms	(/ 1 (sqrt v))

simplify105.0ms

Algorithm

egg-herbie

Counts

174 → 174

Iterations

Useful iterations: 2 (86.0ms)

Iter	Nodes	Cost
0	758	1389
1	4266	1169
2	5002	1054

prune262.0ms

Filtered

174 candidates to 98 candidates (56.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	173	1	174
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	174	6	180

Merged error: 0.0b

Counts

180 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* m (- 1.0 m))
0.2b	(* (- (* (* m (- 1.0 m)) (/ 1 v)) 1.0) (sqrt m))
0.3b	(* (* m (- 1.0 m)) (/ 1 v))
0.4b	(* (* (- (* (* m (- 1.0 m)) (/ 1 v)) 1.0) (sqrt m)) (sqrt m))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-exp-log`
30×	`associate-r`
26×	`add-sqr-sqrt`
25×	`add-cbrt-cube`
20×	`*-un-lft-identity`
18×	`pow1` `add-cube-cbrt`
17×	`prod-exp`
11×	`cbrt-unprod`
9×	`times-frac`
8×	`associate-l` `pow-prod-down` `associate-*l/`
7×	`associate-*r/` `sqrt-prod`
5×	`flip3--` `flip--`
4×	`div-exp` `*-commutative` `add-log-exp`
3×	`unswap-sqr`
2×	`cbrt-undiv` `distribute-rgt-in` `frac-times` `sub-neg` `rec-exp` `distribute-lft-in` `1-exp`
1×	`un-div-inv` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 115

Calls

4 calls:

6.0ms	(* m (- 1.0 m))
14.0ms	(* (- (* (* m (- 1.0 m)) (/ 1 v)) 1.0) (sqrt m))
14.0ms	(* (* m (- 1.0 m)) (/ 1 v))
16.0ms	(* (* (- (* (* m (- 1.0 m)) (/ 1 v)) 1.0) (sqrt m)) (sqrt m))

series221.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(* m (- 1.0 m))
80.0ms	(* (- (* (* m (- 1.0 m)) (/ 1 v)) 1.0) (sqrt m))
43.0ms	(* (* m (- 1.0 m)) (/ 1 v))
51.0ms	(* (* (- (* (* m (- 1.0 m)) (/ 1 v)) 1.0) (sqrt m)) (sqrt m))

simplify77.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (67.0ms)

Iter	Nodes	Cost
0	560	899
1	2924	752
2	5001	734

prune199.0ms

Filtered

127 candidates to 77 candidates (60.6%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	126	1	127
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	126	7	133

Merged error: 0.0b

Counts

133 → 7

regimes84.0ms

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

sample883.0ms

Algorithm

intervals

Results

417.0ms	13569×	body	80	valid
241.0ms	13569×	pre	80	true