Details

sample325.0ms

Algorithm

intervals

Results

12.0ms	421×	body	80	valid
8.0ms	421×	pre	80	true

simplify82.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	6
1	40	6
2	105	6
3	354	6
4	1102	6
5	3189	6
6	5002	6

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: 0.1b

Counts

2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite69.0ms

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:

7.0ms	(* m (- 1.0 m))
8.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
15.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
34.0ms	(/ (* m (- 1.0 m)) v)

series162.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(* m (- 1.0 m))
23.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
43.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
47.0ms	(/ (* m (- 1.0 m)) v)

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

prune183.0ms

Filtered

109 candidates to 72 candidates (66.1%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	102	7	109
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	103	7	110

Merged error: 0.0b

Counts

110 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 101

Calls

4 calls:

4.0ms	(+ (* 1.0 m) (* (neg m) m))
11.0ms	(- (/ (+ (* 1.0 m) (* (neg m) m)) v) 1.0)
16.0ms	(* (- (/ (+ (* 1.0 m) (* (neg m) m)) v) 1.0) (- 1.0 m))
6.0ms	(/ (+ (* 1.0 m) (* (neg m) m)) v)

series166.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(+ (* 1.0 m) (* (neg m) m))
25.0ms	(- (/ (+ (* 1.0 m) (* (neg m) m)) v) 1.0)
35.0ms	(* (- (/ (+ (* 1.0 m) (* (neg m) m)) v) 1.0) (- 1.0 m))
50.0ms	(/ (+ (* 1.0 m) (* (neg m) m)) v)

simplify60.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	429	1079
1	1971	964
2	5001	949

prune197.0ms

Filtered

113 candidates to 83 candidates (73.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	112	1	113
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	112	8	120

Merged error: 0.0b

Counts

120 → 8

localize7.0ms

Local error

Found 4 expressions with local error:

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

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 191

Calls

4 calls:

5.0ms	(/ v (- 1.0 m))
12.0ms	(/ m (/ v (- 1.0 m)))
26.0ms	(- (/ m (/ v (- 1.0 m))) 1.0)
33.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))

series137.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(/ v (- 1.0 m))
42.0ms	(/ m (/ v (- 1.0 m)))
23.0ms	(- (/ m (/ v (- 1.0 m))) 1.0)
36.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))

simplify99.0ms

Algorithm

egg-herbie

Counts

203 → 203

Iterations

Useful iterations: 2 (75.0ms)

Iter	Nodes	Cost
0	699	1623
1	3448	1558
2	5002	1557

prune333.0ms

Filtered

203 candidates to 152 candidates (74.9%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	203	0	203
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	203	8	211

Merged error: 0.0b

Counts

211 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 90

Calls

4 calls:

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

series142.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
40.0ms	(/ (* m (- 1.0 m)) v)
37.0ms	(/ (* m (- 1.0 m)) v)
40.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (neg m))

simplify45.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	336	625
1	1505	568
2	5003	550

prune155.0ms

Filtered

102 candidates to 70 candidates (68.6%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	102	0	102
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	102	8	110

Merged error: 0.0b

Counts

110 → 8

regimes82.0ms

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	8
1	17	8

end0.0ms

sample844.0ms

Algorithm

intervals

Results

374.0ms	13786×	body	80	valid
245.0ms	13786×	pre	80	true

Details

sample325.0ms

simplify82.0ms

prune4.0ms

localize11.0ms

rewrite69.0ms

series162.0ms

simplify61.0ms

prune183.0ms

localize10.0ms

rewrite41.0ms

series166.0ms

simplify60.0ms

prune197.0ms

localize7.0ms

rewrite87.0ms

series137.0ms

simplify99.0ms

prune333.0ms

localize10.0ms

rewrite39.0ms

series142.0ms

simplify45.0ms

prune155.0ms

regimes82.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample844.0ms

Profiling