Details

sample294.0ms

Algorithm

intervals

Results

11.0ms	437×	body	80	valid
7.0ms	437×	pre	80	true

simplify81.0ms

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

rewrite56.0ms

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:

21.0ms	(* m (- 1.0 m))
8.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
6.0ms	(/ (* m (- 1.0 m)) v)
17.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

series154.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(* m (- 1.0 m))
28.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
38.0ms	(/ (* m (- 1.0 m)) v)
44.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

simplify59.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 2 (49.0ms)

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

prune178.0ms

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: 0.0b

Counts

110 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 123

Calls

4 calls:

8.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
7.0ms	(/ (* m (- 1.0 m)) v)
21.0ms	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
16.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m)))

series332.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
38.0ms	(/ (* m (- 1.0 m)) v)
131.0ms	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
139.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m)))

simplify40.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 1 (23.0ms)

Iter	Nodes	Cost
0	817	1782
1	5001	1565

prune298.0ms

Filtered

135 candidates to 100 candidates (74.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	135	0	135
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	135	5	140

Merged error: 0.0b

Counts

140 → 5

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 141

Calls

4 calls:

19.0ms	(- (/ 1 (/ v (* m (- 1.0 m)))) 1.0)
21.0ms	(* (- (/ 1 (/ v (* m (- 1.0 m)))) 1.0) (- 1.0 m))
6.0ms	(/ v (* m (- 1.0 m)))
8.0ms	(/ 1 (/ v (* m (- 1.0 m))))

series162.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(- (/ 1 (/ v (* m (- 1.0 m)))) 1.0)
42.0ms	(* (- (/ 1 (/ v (* m (- 1.0 m)))) 1.0) (- 1.0 m))
44.0ms	(/ v (* m (- 1.0 m)))
45.0ms	(/ 1 (/ v (* m (- 1.0 m))))

simplify79.0ms

Algorithm

egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	588	1255
1	2924	1091
2	5001	1068

prune196.0ms

Filtered

153 candidates to 91 candidates (59.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	153	0	153
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	153	5	158

Merged error: 0.0b

Counts

158 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))) (cbrt (* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))))
0.4b	(cbrt (* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m)))
0.4b	(cbrt (* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m)))
0.4b	(cbrt (* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m)))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

168×	`cbrt-div`
148×	`frac-times`
126×	`flip3--` `flip--`
50×	`associate-r/` `associate-l/`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 162

Calls

4 calls:

12.0ms	(* (cbrt (* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))) (cbrt (* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))))
12.0ms	(cbrt (* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m)))
12.0ms	(cbrt (* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m)))
12.0ms	(cbrt (* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m)))

series578.0ms

Counts

4 → 12

Calls

4 calls:

162.0ms	(* (cbrt (* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))) (cbrt (* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))))
136.0ms	(cbrt (* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m)))
140.0ms	(cbrt (* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m)))
139.0ms	(cbrt (* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m)))

simplify89.0ms

Algorithm

egg-herbie

Counts

174 → 174

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	547	4692
1	1665	4585
2	5001	4515

prune507.0ms

Filtered

174 candidates to 124 candidates (71.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	174	0	174
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	174	5	179

Merged error: 0.0b

Counts

179 → 5

regimes75.0ms

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	17	12

end0.0ms

sample728.0ms

Algorithm

intervals

Results

324.0ms	13821×	body	80	valid
182.0ms	13821×	pre	80	true