Details

sample50.0ms

Algorithm

intervals

Results

16.0ms	453×	body	80	valid
10.0ms	453×	pre	80	true

simplify80.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	5288	11

prune11.0ms

Filtered

1 candidates to 1 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 → 2

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite44.0ms

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×	`sub-neg` `flip3--` `associate-r/` `prod-exp` `associate-/r` `flip--` `cbrt-unprod` `unswap-sqr`
2×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `div-exp` `pow-prod-down` `*-commutative` `div-inv` `associate-/l/`
1×	`frac-2neg` `diff-log` `div-sub` `clear-num`

Counts

4 → 112

Calls

4 calls:

8.0ms	(- (* m (/ (- 1.0 m) v)) 1.0)
7.0ms	(/ (- 1.0 m) v)
12.0ms	(* m (- (* m (/ (- 1.0 m) v)) 1.0))
13.0ms	(* m (/ (- 1.0 m) v))

series34.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(- (* m (/ (- 1.0 m) v)) 1.0)
5.0ms	(/ (- 1.0 m) v)
9.0ms	(* m (- (* m (/ (- 1.0 m) v)) 1.0))
15.0ms	(* m (/ (- 1.0 m) v))

simplify47.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4966	1246
1	4966	1246

prune179.0ms

Filtered

82 candidates to 124 candidates (-51.2%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	116	8	124
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	116	10	126

Merged error: 0.0b

Counts

126 → 10

localize7.0ms

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

rewrite38.0ms

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:

9.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
7.0ms	(* m (- 1.0 m))
8.0ms	(/ (* m (- 1.0 m)) v)
12.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series25.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
5.0ms	(* m (- 1.0 m))
6.0ms	(/ (* m (- 1.0 m)) v)
8.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify35.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	4982	939
1	4982	939

prune128.0ms

Filtered

67 candidates to 97 candidates (-44.8%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	94	3	97
Fresh	3	5	8
Picked	0	1	1
Done	0	1	1
Total	97	10	107

Merged error: 0.0b

Counts

107 → 10

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(* m (- 1.0 m))
0.1b	(/ v (* m (- 1.0 m)))
0.2b	(* (- (/ 1 (/ v (* m (- 1.0 m)))) 1.0) m)
0.3b	(/ 1 (/ v (* m (- 1.0 m))))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 138

Calls

4 calls:

7.0ms	(* m (- 1.0 m))
7.0ms	(/ v (* m (- 1.0 m)))
21.0ms	(* (- (/ 1 (/ v (* m (- 1.0 m)))) 1.0) m)
10.0ms	(/ 1 (/ v (* m (- 1.0 m))))

series34.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(* m (- 1.0 m))
10.0ms	(/ v (* m (- 1.0 m)))
11.0ms	(* (- (/ 1 (/ v (* m (- 1.0 m)))) 1.0) m)
8.0ms	(/ 1 (/ v (* m (- 1.0 m))))

simplify52.0ms

Algorithm

egg-herbie

Counts

150 → 150

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5161	1580

prune178.0ms

Filtered

96 candidates to 150 candidates (-56.3%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	149	1	150
Fresh	1	6	7
Picked	1	0	1
Done	0	2	2
Total	151	9	160

Merged error: 0.0b

Counts

160 → 9

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

128×	`add-sqr-sqrt`
108×	`times-frac`
96×	`*-un-lft-identity`
70×	`add-cube-cbrt`
60×	`sqrt-prod`
37×	`associate-r`
25×	`associate-l`
22×	`add-exp-log` `add-cbrt-cube`
13×	`distribute-lft-out--` `difference-of-squares`
12×	`associate-/r*`
10×	`unswap-sqr`
8×	`pow1` `associate-/l*`
6×	`cbrt-undiv` `div-exp`
5×	`prod-exp` `cbrt-unprod`
4×	`div-inv` `add-log-exp`
3×	`associate-*r/`
2×	`distribute-rgt-in` `sub-neg` `flip3--` `frac-2neg` `distribute-lft-in` `pow-prod-down` `clear-num` `*-commutative` `flip--` `associate-/l/`
1×	`frac-times` `div-sub` `associate-*l/`

Counts

4 → 204

Calls

4 calls:

15.0ms	(* m (- (* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v))) 1.0))
7.0ms	(/ (- 1.0 m) (sqrt v))
5.0ms	(/ m (sqrt v))
25.0ms	(* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v)))

series36.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(* m (- (* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v))) 1.0))
6.0ms	(/ (- 1.0 m) (sqrt v))
8.0ms	(/ m (sqrt v))
10.0ms	(* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v)))

simplify38.0ms

Algorithm

egg-herbie

Counts

216 → 216

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	5236	2512

prune199.0ms

Filtered

138 candidates to 216 candidates (-56.5%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	216	0	216
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	216	9	225

Merged error: 0.0b

Counts

225 → 9

regimes182.0ms

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	11
1	10	11

end0.0ms

sample1.3s

Algorithm

intervals

Results

441.0ms	13714×	body	80	valid
262.0ms	13714×	pre	80	true

Details

sample50.0ms

simplify80.0ms

prune11.0ms

localize20.0ms

rewrite44.0ms

series34.0ms

simplify47.0ms

prune179.0ms

localize7.0ms

rewrite38.0ms

series25.0ms

simplify35.0ms

prune128.0ms

localize9.0ms

rewrite50.0ms

series34.0ms

simplify52.0ms

prune178.0ms

localize10.0ms

rewrite64.0ms

series36.0ms

simplify38.0ms

prune199.0ms

regimes182.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.3s

Profiling