Details

analyze242.0ms

Algorithm

Search

True	Other	False	Iter
0%	12.5%	87.5%	0
0%	12.5%	87.5%	1
0%	12.5%	87.5%	2
3.1%	9.3%	87.5%	3
3.1%	6.2%	90.7%	4
4.7%	4.7%	90.7%	5
4.7%	3.5%	91.8%	6
5.6%	2.5%	91.8%	7
5.9%	1.8%	92.3%	8
6.4%	1.3%	92.3%	9
6.6%	0.9%	92.5%	10
6.8%	0.6%	92.5%	11
6.9%	0.5%	92.6%	12
7%	0.3%	92.6%	13
7.1%	0.2%	92.7%	14

sample23.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
5.0ms	258×	pre	80	true
0.0ms	2×	body	80	invalid

simplify485.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4963	13
1	4963	13

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

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

rewrite41.0ms

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×	`frac-times` `distribute-lft-out--` `difference-of-squares`
3×	`times-frac` `prod-exp` `associate-/r*` `cbrt-unprod`
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 → 92

Calls

4 calls:

6.0ms	(* m (- 1.0 m))
9.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
14.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
9.0ms	(/ (* m (- 1.0 m)) v)

series31.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(* m (- 1.0 m))
5.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
8.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
13.0ms	(/ (* m (- 1.0 m)) v)

simplify34.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (19.0ms)

Iter	Nodes	Cost
0	5334	1273

prune151.0ms

Filtered

76 candidates to 104 candidates (-36.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	98	6	104
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	99	7	106

Merged error: 0.0b

Counts

106 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 126

Calls

4 calls:

13.0ms	(+ (* 1.0 (- (* (/ (- 1.0 m) v) m) 1.0)) (* m (neg (- (* (/ (- 1.0 m) v) m) 1.0))))
12.0ms	(* m (neg (- (* (/ (- 1.0 m) v) m) 1.0)))
9.0ms	(* (/ (- 1.0 m) v) m)
9.0ms	(* (/ (- 1.0 m) v) m)

series31.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(+ (* 1.0 (- (* (/ (- 1.0 m) v) m) 1.0)) (* m (neg (- (* (/ (- 1.0 m) v) m) 1.0))))
10.0ms	(* m (neg (- (* (/ (- 1.0 m) v) m) 1.0)))
5.0ms	(* (/ (- 1.0 m) v) m)
6.0ms	(* (/ (- 1.0 m) v) m)

simplify51.0ms

Algorithm

egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5373	1844

prune210.0ms

Filtered

106 candidates to 138 candidates (-30.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	138	0	138
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	138	7	145

Merged error: 0.0b

Counts

145 → 7

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- (/ (* (sqrt m) (* (- 1.0 m) (sqrt m))) v) 1.0) (- 1.0 m))
0.0b	(* (- 1.0 m) (sqrt m))
0.1b	(/ (* (sqrt m) (* (- 1.0 m) (sqrt m))) v)
0.4b	(* (sqrt m) (* (- 1.0 m) (sqrt m)))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 106

Calls

4 calls:

16.0ms	(* (- (/ (* (sqrt m) (* (- 1.0 m) (sqrt m))) v) 1.0) (- 1.0 m))
7.0ms	(* (- 1.0 m) (sqrt m))
11.0ms	(/ (* (sqrt m) (* (- 1.0 m) (sqrt m))) v)
10.0ms	(* (sqrt m) (* (- 1.0 m) (sqrt m)))

series42.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(* (- (/ (* (sqrt m) (* (- 1.0 m) (sqrt m))) v) 1.0) (- 1.0 m))
5.0ms	(* (- 1.0 m) (sqrt m))
13.0ms	(/ (* (sqrt m) (* (- 1.0 m) (sqrt m))) v)
8.0ms	(* (sqrt m) (* (- 1.0 m) (sqrt m)))

simplify32.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5004	1435

prune144.0ms

Filtered

88 candidates to 118 candidates (-34.1%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	118	0	118
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	118	7	125

Merged error: 0.0b

Counts

125 → 7

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

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 210

Calls

4 calls:

20.0ms	(* (- (* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v))) 1.0) (- 1.0 m))
4.0ms	(/ m (sqrt v))
6.0ms	(/ (- 1.0 m) (sqrt v))
23.0ms	(* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v)))

series32.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(* (- (* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v))) 1.0) (- 1.0 m))
7.0ms	(/ m (sqrt v))
6.0ms	(/ (- 1.0 m) (sqrt v))
9.0ms	(* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v)))

simplify59.0ms

Algorithm

egg-herbie

Counts

222 → 222

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5272	2777

prune213.0ms

Filtered

146 candidates to 222 candidates (-52.1%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	222	0	222
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	222	7	229

Merged error: 0.0b

Counts

229 → 7

regimes154.0ms

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	28	13
1	28	13

end0.0ms

sample531.0ms

Algorithm

intervals

Results

259.0ms	8000×	body	80	valid
144.0ms	8065×	pre	80	true
2.0ms	65×	body	80	invalid

Details

analyze242.0ms

sample23.0ms

simplify485.0ms

prune11.0ms

localize9.0ms

rewrite41.0ms

series31.0ms

simplify34.0ms

prune151.0ms

localize10.0ms

rewrite47.0ms

series31.0ms

simplify51.0ms

prune210.0ms

localize9.0ms

rewrite47.0ms

series42.0ms

simplify32.0ms

prune144.0ms

localize9.0ms

rewrite63.0ms

series32.0ms

simplify59.0ms

prune213.0ms

regimes154.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample531.0ms

Profiling