Details

sample291.0ms

Algorithm

intervals

Results

12.0ms	457×	body	80	valid
7.0ms	457×	pre	80	true

simplify130.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	16	5
1	34	5
2	72	5
3	188	5
4	406	5
5	636	5
6	938	5
7	1312	5
8	1969	5
9	2931	5
10	3911	5
11	5001	5

prune4.0ms

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

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

77×	`add-sqr-sqrt`
58×	`*-un-lft-identity`
46×	`add-cube-cbrt`
44×	`times-frac`
28×	`associate-r`
22×	`associate-l`
18×	`prod-diff`
14×	`associate-/l*`
12×	`add-exp-log` `add-cbrt-cube`
11×	`distribute-rgt-in` `distribute-lft-in`
8×	`difference-of-squares`
7×	`pow1` `unswap-sqr`
6×	`*-commutative` `distribute-lft-out--`
4×	`associate-*r/`
3×	`expm1-log1p-u` `flip3--` `prod-exp` `associate-/r*` `flip--` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `sub-neg` `div-exp` `pow-prod-down` `associate-*l/` `associate-/l/`
1×	`frac-2neg` `clear-num` `div-inv`

Counts

3 → 149

Calls

3 calls:

7.0ms	(* m (- 1.0 m))
12.0ms	(/ (* m (- 1.0 m)) v)
46.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series137.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(* m (- 1.0 m))
44.0ms	(/ (* m (- 1.0 m)) v)
46.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify82.0ms

Algorithm

egg-herbie

Counts

158 → 158

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	556	1071
1	2702	896
2	5002	890

prune211.0ms

Filtered

158 candidates to 101 candidates (63.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	152	6	158
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	152	7	159

Merged error: 0.0b

Counts

159 → 7

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (- 1.0 m) (/ m v))
0.2b	(* (- (* (- 1.0 m) (/ m v)) 1.0) m)

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-sqr-sqrt`
28×	`*-un-lft-identity`
18×	`frac-times` `add-cube-cbrt`
16×	`associate-r` `associate-l`
11×	`flip3--` `times-frac` `flip--`
10×	`associate-/l*`
9×	`add-exp-log` `associate-r/` `associate-/r` `add-cbrt-cube`
6×	`pow1`
5×	`distribute-lft-out--` `unswap-sqr`
4×	`associate-*l/` `clear-num` `difference-of-squares`
3×	`frac-2neg` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `pow-prod-down` `un-div-inv` `*-commutative` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `div-exp` `div-inv`

Counts

2 → 94

Calls

2 calls:

11.0ms	(* (- 1.0 m) (/ m v))
26.0ms	(* (- (* (- 1.0 m) (/ m v)) 1.0) m)

series78.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(* (- 1.0 m) (/ m v))
37.0ms	(* (- (* (- 1.0 m) (/ m v)) 1.0) m)

simplify62.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	432	614
1	2250	577
2	5003	571

prune144.0ms

Filtered

100 candidates to 68 candidates (68.0%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	98	2	100
Fresh	2	3	5
Picked	1	0	1
Done	1	0	1
Total	102	5	107

Merged error: 0.0b

Counts

107 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite258.0ms

Algorithm

rewrite-expression-head

Rules

738×	`add-sqr-sqrt`
476×	`*-un-lft-identity`
327×	`associate-l`
280×	`add-cube-cbrt`
276×	`times-frac`
225×	`prod-diff`
179×	`difference-of-squares`
177×	`swap-sqr`
174×	`associate-r`
116×	`unswap-sqr`
108×	`*-commutative`
73×	`associate-/l*`
54×	`distribute-lft-out`
36×	`frac-times` `distribute-lft-out--`
31×	`associate-/l/`
22×	`flip3--` `associate-/r*` `flip--`
20×	`add-exp-log` `add-cbrt-cube`
18×	`associate-*r/`
15×	`fma-neg`
9×	`clear-num`
8×	`pow1`
7×	`frac-2neg` `div-inv`
6×	`associate-*l/` `add-log-exp`
5×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `un-div-inv` `log1p-expm1-u`
2×	`pow-prod-down` `associate-/r/`
1×	`sub-neg` `flip3-+` `diff-log` `flip-+`

Counts

4 → 725

Calls

4 calls:

26.0ms	(- (* 1.0 1.0) (* m m))
47.0ms	(/ (* (- (* 1.0 1.0) (* m m)) (/ m v)) (+ 1.0 m))
29.0ms	(* (- (* 1.0 1.0) (* m m)) (/ m v))
111.0ms	(* (- (/ (* (- (* 1.0 1.0) (* m m)) (/ m v)) (+ 1.0 m)) 1.0) m)

series237.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(- (* 1.0 1.0) (* m m))
75.0ms	(/ (* (- (* 1.0 1.0) (* m m)) (/ m v)) (+ 1.0 m))
53.0ms	(* (- (* 1.0 1.0) (* m m)) (/ m v))
70.0ms	(* (- (/ (* (- (* 1.0 1.0) (* m m)) (/ m v)) (+ 1.0 m)) 1.0) m)

simplify122.0ms

Algorithm

egg-herbie

Counts

737 → 737

Iterations

Useful iterations: 1 (37.0ms)

Iter	Nodes	Cost
0	1725	7723
1	5001	6855

prune674.0ms

Filtered

737 candidates to 272 candidates (36.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	735	2	737
Fresh	2	2	4
Picked	0	1	1
Done	0	0	0
Total	737	5	742

Merged error: 0.0b

Counts

742 → 5

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

75×	`add-sqr-sqrt`
49×	`associate-l`
43×	`*-un-lft-identity`
31×	`associate-r`
26×	`add-cube-cbrt`
20×	`unswap-sqr`
18×	`frac-times`
16×	`sqrt-prod`
15×	`add-exp-log` `add-cbrt-cube`
12×	`pow1` `flip3--` `times-frac` `flip--`
10×	`associate-/l*`
9×	`associate-r/` `associate-/r` `distribute-lft-out--`
8×	`associate-*l/`
7×	`difference-of-squares`
6×	`prod-exp` `cbrt-unprod`
5×	`pow-prod-down`
4×	`clear-num` `*-commutative`
3×	`expm1-log1p-u` `frac-2neg` `log1p-expm1-u` `add-log-exp`
2×	`un-div-inv`
1×	`cbrt-undiv` `div-exp` `div-inv`

Counts

3 → 150

Calls

3 calls:

11.0ms	(* (- 1.0 m) (/ m v))
24.0ms	(* (- (* (- 1.0 m) (/ m v)) 1.0) (sqrt m))
33.0ms	(* (* (- (* (- 1.0 m) (/ m v)) 1.0) (sqrt m)) (sqrt m))

series174.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(* (- 1.0 m) (/ m v))
79.0ms	(* (- (* (- 1.0 m) (/ m v)) 1.0) (sqrt m))
54.0ms	(* (* (- (* (- 1.0 m) (/ m v)) 1.0) (sqrt m)) (sqrt m))

simplify82.0ms

Algorithm

egg-herbie

Counts

159 → 159

Iterations

Useful iterations: 2 (69.0ms)

Iter	Nodes	Cost
0	597	1198
1	3052	1070
2	5002	1054

prune223.0ms

Filtered

159 candidates to 107 candidates (67.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	158	1	159
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	158	6	164

Merged error: 0b

Counts

164 → 6

regimes51.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	9
1	15	9

end0.0ms

sample754.0ms

Algorithm

intervals

Results

340.0ms	13780×	body	80	valid
190.0ms	13780×	pre	80	true