Details

sample247.0ms

Algorithm

intervals

Results

209.0ms	428×	body	80	valid
12.0ms	428×	pre	80	true

simplify486.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4963	13
1	4963	13

prune10.0ms

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: 0.0b

Counts

2 → 2

localize17.0ms

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

rewrite44.0ms

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

series31.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
4.0ms	(* m (- 1.0 m))
6.0ms	(/ (* m (- 1.0 m)) v)
15.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

simplify30.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	5334	1335

prune149.0ms

Filtered

76 candidates to 109 candidates (-43.4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	104	5	109
Fresh	1	0	1
Picked	1	0	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	(/ v (- 1.0 m))
0.0b	(- (/ m (/ v (- 1.0 m))) 1.0)
0.0b	(/ m (/ v (- 1.0 m)))
0.0b	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))

rewrite89.0ms

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))
27.0ms	(- (/ m (/ v (- 1.0 m))) 1.0)
9.0ms	(/ m (/ v (- 1.0 m)))
36.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))

series23.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(/ v (- 1.0 m))
5.0ms	(- (/ m (/ v (- 1.0 m))) 1.0)
5.0ms	(/ m (/ v (- 1.0 m)))
7.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))

simplify60.0ms

Algorithm

egg-herbie

Counts

203 → 203

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5173	2891

prune260.0ms

Filtered

155 candidates to 203 candidates (-31.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	203	0	203
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	203	5	208

Merged error: 0b

Counts

208 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 160

Calls

4 calls:

6.0ms	(/ (- 1.0 m) v)
22.0ms	(* (* (- (* (/ (- 1.0 m) v) m) 1.0) (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
16.0ms	(* (- (* (/ (- 1.0 m) v) m) 1.0) (+ (sqrt 1.0) (sqrt m)))
9.0ms	(* (/ (- 1.0 m) v) m)

series40.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(/ (- 1.0 m) v)
14.0ms	(* (* (- (* (/ (- 1.0 m) v) m) 1.0) (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
17.0ms	(* (- (* (/ (- 1.0 m) v) m) 1.0) (+ (sqrt 1.0) (sqrt m)))
5.0ms	(* (/ (- 1.0 m) v) m)

simplify100.0ms

Algorithm

egg-herbie

Counts

172 → 172

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	4979	3106
1	4979	3106

prune318.0ms

Filtered

129 candidates to 172 candidates (-33.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	172	0	172
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	172	5	177

Merged error: 0b

Counts

177 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 159

Calls

4 calls:

19.0ms	(* (- (/ (* (/ m (sqrt v)) (- 1.0 m)) (sqrt v)) 1.0) (- 1.0 m))
11.0ms	(* (/ m (sqrt v)) (- 1.0 m))
4.0ms	(/ m (sqrt v))
12.0ms	(/ (* (/ m (sqrt v)) (- 1.0 m)) (sqrt v))

series37.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify66.0ms

Algorithm

egg-herbie

Counts

171 → 171

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4975	2055
1	4975	2055

prune169.0ms

Filtered

126 candidates to 171 candidates (-35.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	171	0	171
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	171	5	176

Merged error: 0b

Counts

176 → 5

regimes87.0ms

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 (1.0ms)

Iter	Nodes	Cost
0	27	13
1	27	13

end0.0ms

sample1.1s

Algorithm

intervals

Results

465.0ms	13902×	body	80	valid
258.0ms	13902×	pre	80	true

Details

sample247.0ms

simplify486.0ms

prune10.0ms

localize17.0ms

rewrite44.0ms

series31.0ms

simplify30.0ms

prune149.0ms

localize7.0ms

rewrite89.0ms

series23.0ms

simplify60.0ms

prune260.0ms

localize12.0ms

rewrite62.0ms

series40.0ms

simplify100.0ms

prune318.0ms

localize9.0ms

rewrite52.0ms

series37.0ms

simplify66.0ms

prune169.0ms

regimes87.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.1s

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