Details

analyze249.0ms

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

sample24.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
5.0ms	257×	pre	80	true
0.0ms	1×	body	80	invalid

simplify499.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (55.0ms)

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: 0.0b

Counts

2 → 2

localize10.0ms

Local error

Found 3 expressions with local error:

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)

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 68

Calls

3 calls:

8.0ms	(- (/ (* 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)

series27.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
8.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
14.0ms	(/ (* m (- 1.0 m)) v)

simplify40.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5018	1101

prune124.0ms

Filtered

59 candidates to 77 candidates (-30.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	72	5	77
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	72	7	79

Merged error: 0.0b

Counts

79 → 7

localize7.0ms

Local error

Found 4 expressions with local error:

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

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 117

Calls

4 calls:

5.0ms	(/ (- 1.0 m) v)
7.0ms	(- (* m (/ (- 1.0 m) v)) 1.0)
14.0ms	(* (- 1.0 m) (- (* m (/ (- 1.0 m) v)) 1.0))
9.0ms	(* m (/ (- 1.0 m) v))

series23.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify60.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4978	1530
1	4978	1530

prune157.0ms

Filtered

90 candidates to 129 candidates (-43.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	129	0	129
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	129	7	136

Merged error: 0.0b

Counts

136 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- (* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v))) 1.0) (- 1.0 m))
0.3b	(/ (- 1.0 m) (sqrt v))
0.3b	(/ m (sqrt v))
0.4b	(* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v)))

rewrite59.0ms

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:

16.0ms	(* (- (* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v))) 1.0) (- 1.0 m))
7.0ms	(/ (- 1.0 m) (sqrt v))
4.0ms	(/ m (sqrt v))
23.0ms	(* (/ 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))
6.0ms	(/ (- 1.0 m) (sqrt v))
7.0ms	(/ m (sqrt v))
13.0ms	(* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v)))

simplify61.0ms

Algorithm

egg-herbie

Counts

222 → 222

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5272	2777

prune226.0ms

Filtered

146 candidates to 222 candidates (-52.1%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	222	0	222
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	222	7	229

Merged error: 0.0b

Counts

229 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (* (- 1.0 m) (- (* (/ (- 1.0 m) v) m) 1.0))) (cbrt (* (- 1.0 m) (- (* (/ (- 1.0 m) v) m) 1.0))))
0.3b	(cbrt (* (- 1.0 m) (- (* (/ (- 1.0 m) v) m) 1.0)))
0.3b	(cbrt (* (- 1.0 m) (- (* (/ (- 1.0 m) v) m) 1.0)))
0.3b	(cbrt (* (- 1.0 m) (- (* (/ (- 1.0 m) v) m) 1.0)))

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 (* (- 1.0 m) (- (* (/ (- 1.0 m) v) m) 1.0))) (cbrt (* (- 1.0 m) (- (* (/ (- 1.0 m) v) m) 1.0))))
13.0ms	(cbrt (* (- 1.0 m) (- (* (/ (- 1.0 m) v) m) 1.0)))
12.0ms	(cbrt (* (- 1.0 m) (- (* (/ (- 1.0 m) v) m) 1.0)))
14.0ms	(cbrt (* (- 1.0 m) (- (* (/ (- 1.0 m) v) m) 1.0)))

series105.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* (cbrt (* (- 1.0 m) (- (* (/ (- 1.0 m) v) m) 1.0))) (cbrt (* (- 1.0 m) (- (* (/ (- 1.0 m) v) m) 1.0))))
23.0ms	(cbrt (* (- 1.0 m) (- (* (/ (- 1.0 m) v) m) 1.0)))
27.0ms	(cbrt (* (- 1.0 m) (- (* (/ (- 1.0 m) v) m) 1.0)))
25.0ms	(cbrt (* (- 1.0 m) (- (* (/ (- 1.0 m) v) m) 1.0)))

simplify84.0ms

Algorithm

egg-herbie

Counts

174 → 174

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5105	7935

prune673.0ms

Filtered

128 candidates to 174 candidates (-35.9%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	173	1	174
Fresh	1	2	3
Picked	0	1	1
Done	0	3	3
Total	174	7	181

Merged error: 0b

Counts

181 → 7

regimes165.0ms

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

sample580.0ms

Algorithm

intervals

Results

285.0ms	8000×	body	80	valid
159.0ms	8059×	pre	80	true
2.0ms	59×	body	80	invalid

Details

analyze249.0ms

sample24.0ms

simplify499.0ms

prune11.0ms

localize10.0ms

rewrite34.0ms

series27.0ms

simplify40.0ms

prune124.0ms

localize7.0ms

rewrite40.0ms

series23.0ms

simplify60.0ms

prune157.0ms

localize10.0ms

rewrite59.0ms

series37.0ms

simplify61.0ms

prune226.0ms

localize13.0ms

rewrite63.0ms

series105.0ms

simplify84.0ms

prune673.0ms

regimes165.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample580.0ms

Profiling