Details

sample301.0ms

Algorithm

intervals

Results

29.0ms	432×	body	80	valid
11.0ms	432×	pre	80	true

simplify125.0ms

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	2932	5
10	3912	5
11	5001	5

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

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

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-sqr-sqrt`
43×	`*-un-lft-identity`
39×	`prod-diff`
37×	`add-cube-cbrt`
15×	`times-frac`
13×	`add-exp-log` `add-cbrt-cube`
11×	`distribute-rgt-in` `distribute-lft-in`
8×	`pow1` `associate-r` `associate-l`
7×	`fma-neg`
6×	`add-log-exp`
5×	`div-inv`
4×	`expm1-log1p-u` `flip3--` `associate-*r/` `flip--` `log1p-expm1-u`
3×	`sub-neg` `prod-exp` `associate-/r*` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares`
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 → 139

Calls

4 calls:

15.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
11.0ms	(* m (- 1.0 m))
10.0ms	(/ (* m (- 1.0 m)) v)
55.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series155.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
47.0ms	(* m (- 1.0 m))
36.0ms	(/ (* m (- 1.0 m)) v)
49.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify74.0ms

Algorithm

egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	492	1130
1	2310	788
2	5002	775

prune229.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 105

Calls

4 calls:

9.0ms	(* v (+ 1.0 m))
10.0ms	(* m (- (* 1.0 1.0) (* m m)))
10.0ms	(/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m)))
58.0ms	(* (- (/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m))) 1.0) m)

series237.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(* v (+ 1.0 m))
71.0ms	(* m (- (* 1.0 1.0) (* m m)))
71.0ms	(/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m)))
63.0ms	(* (- (/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m))) 1.0) m)

simplify86.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 2 (77.0ms)

Iter	Nodes	Cost
0	513	877
1	3135	743
2	5002	742

prune249.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

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

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 70

Calls

3 calls:

8.0ms	(/ (- 1.0 m) v)
0.0ms	(fma (/ m 1) (/ (- 1.0 m) v) (- 1.0))
3.0ms	(* (fma (/ m 1) (/ (- 1.0 m) v) (- 1.0)) m)

series106.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(/ (- 1.0 m) v)
28.0ms	(fma (/ m 1) (/ (- 1.0 m) v) (- 1.0))
46.0ms	(* (fma (/ m 1) (/ (- 1.0 m) v) (- 1.0)) m)

simplify161.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	270	495
1	918	437
2	4973	434
3	5001	434

prune183.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (sqrt m) (- (* 1.0 1.0) (* m m)))
0.1b	(/ (* (sqrt m) (* (sqrt m) (- (* 1.0 1.0) (* m m)))) (* v (+ 1.0 m)))
0.2b	(* (- (/ (* (sqrt m) (* (sqrt m) (- (* 1.0 1.0) (* m m)))) (* v (+ 1.0 m))) 1.0) m)
0.5b	(* (sqrt m) (* (sqrt m) (- (* 1.0 1.0) (* m m))))

rewrite158.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 125

Calls

4 calls:

12.0ms	(* (sqrt m) (- (* 1.0 1.0) (* m m)))
24.0ms	(/ (* (sqrt m) (* (sqrt m) (- (* 1.0 1.0) (* m m)))) (* v (+ 1.0 m)))
98.0ms	(* (- (/ (* (sqrt m) (* (sqrt m) (- (* 1.0 1.0) (* m m)))) (* v (+ 1.0 m))) 1.0) m)
20.0ms	(* (sqrt m) (* (sqrt m) (- (* 1.0 1.0) (* m m))))

series272.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(* (sqrt m) (- (* 1.0 1.0) (* m m)))
77.0ms	(/ (* (sqrt m) (* (sqrt m) (- (* 1.0 1.0) (* m m)))) (* v (+ 1.0 m)))
75.0ms	(* (- (/ (* (sqrt m) (* (sqrt m) (- (* 1.0 1.0) (* m m)))) (* v (+ 1.0 m))) 1.0) m)
63.0ms	(* (sqrt m) (* (sqrt m) (- (* 1.0 1.0) (* m m))))

simplify105.0ms

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 2 (90.0ms)

Iter	Nodes	Cost
0	689	1396
1	4068	1117
2	5001	1105

prune283.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes58.0ms

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	25	10
1	29	10
2	29	10

end0.0ms

sample1.4s

Algorithm

intervals

Results

894.0ms	13750×	body	80	valid
311.0ms	13750×	pre	80	true