Details

sample276.0ms

Algorithm

intervals

Results

10.0ms	411×	body	80	valid
6.0ms	411×	pre	80	true

simplify83.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	16	6
1	40	6
2	105	6
3	354	6
4	1102	6
5	3189	6
6	5002	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 4 expressions with local error:

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

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
18×	`*-un-lft-identity`
13×	`add-exp-log` `add-cbrt-cube`
10×	`add-cube-cbrt` `associate-r`
9×	`flip3--` `flip--`
8×	`pow1` `associate-l`
6×	`associate-*r/` `add-log-exp`
5×	`sub-neg`
4×	`distribute-rgt-in` `frac-times` `distribute-lft-in` `distribute-lft-out--` `difference-of-squares`
3×	`times-frac` `prod-exp` `associate-/r*` `cbrt-unprod`
2×	`cbrt-undiv` `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 → 97

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

series173.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
50.0ms	(* m (- 1.0 m))
53.0ms	(/ (* m (- 1.0 m)) v)
45.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

simplify61.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	400	725
1	1959	665
2	5002	653

prune185.0ms

Filtered

109 candidates to 72 candidates (66.1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	104	5	109
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	105	5	110

Merged error: 0b

Counts

110 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* m (- 1.0 m)) v)
0.0b	(/ (* m (- 1.0 m)) v)
0.0b	(+ (* (- (/ (* m (- 1.0 m)) v) 1.0) 1.0) (* (- (/ (* m (- 1.0 m)) v) 1.0) (- m)))
0.2b	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- m))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 94

Calls

4 calls:

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

series155.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(/ (* m (- 1.0 m)) v)
37.0ms	(/ (* m (- 1.0 m)) v)
42.0ms	(+ (* (- (/ (* m (- 1.0 m)) v) 1.0) 1.0) (* (- (/ (* m (- 1.0 m)) v) 1.0) (- m)))
37.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- m))

simplify72.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	506	961
1	2456	840
2	5003	827

prune184.0ms

Filtered

106 candidates to 77 candidates (72.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	106	0	106
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	106	5	111

Merged error: 0b

Counts

111 → 5

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

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 120

Calls

4 calls:

7.0ms	(- (* m (/ (- 1.0 m) v)) 1.0)
6.0ms	(/ (- 1.0 m) v)
13.0ms	(* (- (* m (/ (- 1.0 m) v)) 1.0) (- 1.0 m))
10.0ms	(* m (/ (- 1.0 m) v))

series132.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(- (* m (/ (- 1.0 m) v)) 1.0)
31.0ms	(/ (- 1.0 m) v)
35.0ms	(* (- (* m (/ (- 1.0 m) v)) 1.0) (- 1.0 m))
40.0ms	(* m (/ (- 1.0 m) v))

simplify68.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	465	875
1	2224	812
2	5002	800

prune193.0ms

Filtered

132 candidates to 91 candidates (68.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	132	0	132
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	132	5	137

Merged error: 0b

Counts

137 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(* m (- 1.0 m))
0.0b	(/ (* m (- 1.0 m)) v)
0.0b	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- (* 1.0 1.0) (* m m)))
2.1b	(/ (* (- (/ (* m (- 1.0 m)) v) 1.0) (- (* 1.0 1.0) (* m m))) (+ 1.0 m))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 115

Calls

4 calls:

7.0ms	(* m (- 1.0 m))
7.0ms	(/ (* m (- 1.0 m)) v)
15.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- (* 1.0 1.0) (* m m)))
17.0ms	(/ (* (- (/ (* m (- 1.0 m)) v) 1.0) (- (* 1.0 1.0) (* m m))) (+ 1.0 m))

series187.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(* m (- 1.0 m))
36.0ms	(/ (* m (- 1.0 m)) v)
43.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- (* 1.0 1.0) (* m m)))
61.0ms	(/ (* (- (/ (* m (- 1.0 m)) v) 1.0) (- (* 1.0 1.0) (* m m))) (+ 1.0 m))

simplify98.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (85.0ms)

Iter	Nodes	Cost
0	624	1153
1	3412	1019
2	5001	1013

prune217.0ms

Filtered

127 candidates to 89 candidates (70.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	127	0	127
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	127	5	132

Merged error: 0b

Counts

132 → 5

regimes61.0ms

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	17	12
1	21	12
2	22	12
3	22	12

end0.0ms

sample722.0ms

Algorithm

intervals

Results

317.0ms	13586×	body	80	valid
178.0ms	13586×	pre	80	true