Details

sample287.0ms

Algorithm

intervals

Results

14.0ms	417×	body	80	valid
9.0ms	417×	pre	80	true

simplify119.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	5
1	34	5
2	67	5
3	169	5
4	345	5
5	466	5
6	670	5
7	1014	5
8	1528	5
9	2117	5
10	3037	5
11	5001	5

prune5.0ms

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: 0.2b

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

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
13×	`add-exp-log` `add-cbrt-cube`
10×	`add-cube-cbrt`
8×	`pow1` `associate-r` `associate-l`
6×	`add-log-exp`
4×	`flip3--` `associate-*r/` `flip--`
3×	`sub-neg` `times-frac` `prod-exp` `associate-/r*` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares`
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 → 85

Calls

4 calls:

21.0ms	(* m (- 1.0 m))
8.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
7.0ms	(/ (* m (- 1.0 m)) v)
14.0ms	(* (- (/ (* m (- 1.0 m)) v) 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)
37.0ms	(/ (* m (- 1.0 m)) v)
44.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify52.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	334	532
1	1558	477
2	5002	465

prune153.0ms

Filtered

97 candidates to 63 candidates (64.9%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	91	6	97
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	92	6	98

Merged error: 0.0b

Counts

98 → 6

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)
0.1b	(* (- (* m (/ (- 1.0 m) v)) 1.0) m)
0.3b	(* m (/ (- 1.0 m) v))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 108

Calls

4 calls:

6.0ms	(/ (- 1.0 m) v)
7.0ms	(- (* m (/ (- 1.0 m) v)) 1.0)
10.0ms	(* (- (* m (/ (- 1.0 m) v)) 1.0) m)
10.0ms	(* m (/ (- 1.0 m) v))

series136.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(/ (- 1.0 m) v)
23.0ms	(- (* m (/ (- 1.0 m) v)) 1.0)
36.0ms	(* (- (* m (/ (- 1.0 m) v)) 1.0) m)
41.0ms	(* m (/ (- 1.0 m) v))

simplify54.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	392	684
1	1724	626
2	5001	614

prune170.0ms

Filtered

120 candidates to 81 candidates (67.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	120	6	126

Merged error: 0.0b

Counts

126 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v)) 1.0)
0.1b	(* (- (/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v)) 1.0) m)
0.2b	(/ (* m (- 1.0 m)) (sqrt v))
0.4b	(/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

112×	`times-frac`
71×	`add-sqr-sqrt`
62×	`sqrt-prod`
57×	`*-un-lft-identity`
53×	`add-cube-cbrt`
20×	`add-exp-log` `add-cbrt-cube`
12×	`associate-/r*`
11×	`associate-/l*`
9×	`div-inv`
7×	`cbrt-undiv` `div-exp` `associate-l`
6×	`pow1` `add-log-exp` `difference-of-squares`
3×	`flip3--` `associate-r` `prod-exp` `flip--` `cbrt-unprod` `associate-/l/`
2×	`frac-2neg` `associate-r/` `associate-l/` `clear-num` `distribute-lft-out--`
1×	`sub-neg` `diff-log` `pow-prod-down` `*-commutative` `unswap-sqr`

Counts

4 → 162

Calls

4 calls:

29.0ms	(- (/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v)) 1.0)
29.0ms	(* (- (/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v)) 1.0) m)
8.0ms	(/ (* m (- 1.0 m)) (sqrt v))
11.0ms	(/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v))

series239.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(- (/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v)) 1.0)
61.0ms	(* (- (/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v)) 1.0) m)
68.0ms	(/ (* m (- 1.0 m)) (sqrt v))
60.0ms	(/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v))

simplify81.0ms

Algorithm

egg-herbie

Counts

174 → 174

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	667	1729
1	2832	1496
2	5001	1478

prune259.0ms

Filtered

174 candidates to 106 candidates (60.9%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	172	2	174
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	173	7	180

Merged error: 0.0b

Counts

180 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (* m (- 1.0 m)) v) 1.0)
0.0b	(/ (* m (- 1.0 m)) v)
0.2b	(* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m))
0.4b	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m)) (sqrt m))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 86

Calls

4 calls:

8.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
7.0ms	(/ (* m (- 1.0 m)) v)
13.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m))
15.0ms	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m)) (sqrt m))

series275.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
42.0ms	(/ (* m (- 1.0 m)) v)
123.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m))
87.0ms	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m)) (sqrt m))

simplify60.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	485	760
1	2166	669
2	5002	653

prune164.0ms

Filtered

98 candidates to 66 candidates (67.3%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	97	1	98
Fresh	1	3	4
Picked	0	1	1
Done	0	2	2
Total	98	7	105

Merged error: 0.0b

Counts

105 → 7

regimes78.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	5
1	10	5

end0.0ms

sample909.0ms

Algorithm

intervals

Results

418.0ms	13633×	body	80	valid
252.0ms	13633×	pre	80	true

Details

sample287.0ms

simplify119.0ms

prune5.0ms

localize9.0ms

rewrite54.0ms

series154.0ms

simplify52.0ms

prune153.0ms

localize7.0ms

rewrite36.0ms

series136.0ms

simplify54.0ms

prune170.0ms

localize9.0ms

rewrite84.0ms

series239.0ms

simplify81.0ms

prune259.0ms

localize13.0ms

rewrite46.0ms

series275.0ms

simplify60.0ms

prune164.0ms

regimes78.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample909.0ms

Profiling