Details

sample270.0ms

Algorithm

intervals

Results

10.0ms	411×	body	80	valid
6.0ms	411×	pre	80	true

simplify92.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	16	6
1	40	6
2	112	6
3	393	6
4	1344	6
5	4072	6
6	5001	6

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: 0.1b

Counts

2 → 1

localize10.0ms

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

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

61×	`add-sqr-sqrt`
57×	`*-un-lft-identity` `prod-diff`
49×	`add-cube-cbrt`
22×	`distribute-rgt-in` `distribute-lft-in`
15×	`times-frac`
13×	`add-exp-log` `add-cbrt-cube`
10×	`associate-r`
9×	`flip3--` `flip--`
8×	`pow1` `associate-l`
7×	`fma-neg`
6×	`associate-*r/` `add-log-exp`
5×	`sub-neg` `div-inv`
4×	`expm1-log1p-u` `frac-times` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`
3×	`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` `associate-/l*`

Counts

4 → 169

Calls

4 calls:

26.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
7.0ms	(* m (- 1.0 m))
8.0ms	(/ (* m (- 1.0 m)) v)
18.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

series152.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
44.0ms	(* m (- 1.0 m))
42.0ms	(/ (* m (- 1.0 m)) v)
43.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

simplify98.0ms

Algorithm

egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 2 (77.0ms)

Iter	Nodes	Cost
0	583	1692
1	2840	1209
2	5002	1196

prune222.0ms

Filtered

181 candidates to 93 candidates (51.4%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	177	4	181
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	178	4	182

Merged error: 0b

Counts

182 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-exp-log` `add-sqr-sqrt` `add-cbrt-cube`
14×	`*-un-lft-identity`
12×	`add-cube-cbrt`
10×	`associate-r` `associate-*l/`
7×	`flip3--` `flip--`
6×	`pow1` `times-frac` `associate-/r*` `add-log-exp`
5×	`associate-l`
4×	`cbrt-undiv` `expm1-log1p-u` `associate-*r/` `div-exp` `frac-add` `log1p-expm1-u` `associate-/l/`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `prod-exp` `distribute-rgt-neg-out` `cbrt-unprod`
2×	`frac-2neg` `clear-num` `div-inv` `associate-/l*`
1×	`+-commutative` `neg-mul-1` `fma-def` `flip3-+` `unsub-neg` `pow-prod-down` `sum-log` `*-commutative` `flip-+` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 103

Calls

4 calls:

8.0ms	(/ (* m (- 1.0 m)) v)
8.0ms	(/ (* m (- 1.0 m)) v)
14.0ms	(+ (* (- (/ (* m (- 1.0 m)) v) 1.0) 1.0) (* (- (/ (* m (- 1.0 m)) v) 1.0) (- m)))
15.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- m))

series152.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(/ (* m (- 1.0 m)) v)
38.0ms	(/ (* m (- 1.0 m)) v)
38.0ms	(+ (* (- (/ (* m (- 1.0 m)) v) 1.0) 1.0) (* (- (/ (* m (- 1.0 m)) v) 1.0) (- m)))
39.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- m))

simplify72.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	529	1005
1	2584	882
2	5001	862

prune197.0ms

Filtered

115 candidates to 86 candidates (74.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	115	0	115
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	115	4	119

Merged error: 0b

Counts

119 → 4

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- 1.0 m) v)
0.1b	(* (fma (/ m 1) (/ (- 1.0 m) v) (- 1.0)) (- 1.0 m))
0.2b	(fma (/ m 1) (/ (- 1.0 m) v) (- 1.0))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-sqr-sqrt`
37×	`*-un-lft-identity`
27×	`add-cube-cbrt`
18×	`prod-diff`
15×	`times-frac`
11×	`distribute-rgt-in` `distribute-lft-in`
7×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `associate-r` `associate-/l*` `distribute-lft-out--` `difference-of-squares`
3×	`expm1-log1p-u` `associate-l` `associate-/r*` `log1p-expm1-u` `add-log-exp`
2×	`sub-neg` `flip3--` `associate-*r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-sub` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `fma-udef` `div-inv` `unswap-sqr`

Counts

3 → 96

Calls

3 calls:

6.0ms	(/ (- 1.0 m) v)
7.0ms	(* (fma (/ m 1) (/ (- 1.0 m) v) (- 1.0)) (- 1.0 m))
1.0ms	(fma (/ m 1) (/ (- 1.0 m) v) (- 1.0))

series106.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(/ (- 1.0 m) v)
40.0ms	(* (fma (/ m 1) (/ (- 1.0 m) v) (- 1.0)) (- 1.0 m))
33.0ms	(fma (/ m 1) (/ (- 1.0 m) v) (- 1.0))

simplify53.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	378	1039
1	1530	824
2	5003	822

prune153.0ms

Filtered

105 candidates to 68 candidates (64.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	105	0	105
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	105	4	109

Merged error: 0b

Counts

109 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(* m (- 1.0 m))
0.0b	(/ (* m (- 1.0 m)) v)
0.0b	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- (* 1.0 1.0) (* m m)))
2.1b	(/ (* (- (/ (* m (- 1.0 m)) v) 1.0) (- (* 1.0 1.0) (* m m))) (+ 1.0 m))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt` `*-un-lft-identity`
24×	`add-cube-cbrt`
20×	`prod-diff`
18×	`add-exp-log` `add-cbrt-cube`
14×	`distribute-rgt-in` `flip3--` `distribute-lft-in` `flip--`
10×	`associate-/l/`
9×	`associate-r`
8×	`pow1` `frac-times` `associate-r/` `associate-l*`
7×	`times-frac` `associate-/r*`
4×	`cbrt-undiv` `expm1-log1p-u` `sub-neg` `div-exp` `associate-*l/` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`difference-of-squares`
2×	`frac-2neg` `pow-prod-down` `clear-num` `associate-/r/` `-commutative` `div-inv` `distribute-lft-out` `associate-/l` `distribute-lft-out--` `unswap-sqr`
1×	`flip3-+` `flip-+`

Counts

4 → 143

Calls

4 calls:

7.0ms	(* m (- 1.0 m))
8.0ms	(/ (* m (- 1.0 m)) v)
15.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- (* 1.0 1.0) (* m m)))
21.0ms	(/ (* (- (/ (* m (- 1.0 m)) v) 1.0) (- (* 1.0 1.0) (* m m))) (+ 1.0 m))

series187.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(* m (- 1.0 m))
41.0ms	(/ (* m (- 1.0 m)) v)
40.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- (* 1.0 1.0) (* m m)))
62.0ms	(/ (* (- (/ (* m (- 1.0 m)) v) 1.0) (- (* 1.0 1.0) (* m m))) (+ 1.0 m))

simplify116.0ms

Algorithm

egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 2 (100.0ms)

Iter	Nodes	Cost
0	724	1477
1	3930	1213
2	5002	1210

prune248.0ms

Filtered

155 candidates to 101 candidates (65.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	155	0	155
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	155	4	159

Merged error: 0b

Counts

159 → 4

regimes52.0ms

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	17	12
1	21	12
2	22	12
3	22	12

end0.0ms

sample716.0ms

Algorithm

intervals

Results

323.0ms	13586×	body	80	valid
173.0ms	13586×	pre	80	true