Details

sample340.0ms

Algorithm

intervals

Results

10.0ms	408×	body	80	valid
6.0ms	408×	pre	80	true

simplify89.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize36.0ms

Local error

Found 3 expressions with local error:

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

rewrite156.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 125

Calls

3 calls:

22.0ms	(* m (- 1.0 m))
23.0ms	(/ (* m (- 1.0 m)) v)
104.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

series138.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(* m (- 1.0 m))
43.0ms	(/ (* m (- 1.0 m)) v)
48.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

simplify80.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	500	1273
1	2527	968
2	5001	962

prune207.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* m (- (pow 1.0 3) (pow m 3))) (* (fma 1.0 1.0 (fma m m (* 1.0 m))) v))
0.1b	(* (fma 1.0 1.0 (fma m m (* 1.0 m))) v)
0.1b	(* m (- (pow 1.0 3) (pow m 3)))
0.1b	(* (- (/ (* m (- (pow 1.0 3) (pow m 3))) (* (fma 1.0 1.0 (fma m m (* 1.0 m))) v)) 1.0) (- 1.0 m))

rewrite581.0ms

Algorithm

rewrite-expression-head

Rules

306×	`prod-diff`
200×	`add-sqr-sqrt`
180×	`*-un-lft-identity`
166×	`add-cube-cbrt`
157×	`distribute-rgt-in` `distribute-lft-in`
156×	`unpow-prod-down` `cube-prod`
56×	`sqr-pow`
48×	`cube-mult` `unpow3`
33×	`associate-r`
22×	`add-exp-log` `add-cbrt-cube`
18×	`difference-of-squares`
11×	`associate-l`
10×	`pow1`
8×	`flip3--` `flip--`
7×	`prod-exp` `cbrt-unprod` `distribute-lft-out--`
6×	`associate-*r/`
4×	`cbrt-undiv` `expm1-log1p-u` `frac-times` `sub-neg` `div-exp` `log1p-expm1-u` `add-log-exp`
3×	`pow-prod-down` `*-commutative` `unswap-sqr`
2×	`associate-*l/` `associate-/l/`
1×	`difference-cubes` `frac-2neg` `times-frac` `clear-num` `associate-/r` `div-inv` `associate-/l`

Counts

4 → 435

Calls

4 calls:

103.0ms	(/ (* m (- (pow 1.0 3) (pow m 3))) (* (fma 1.0 1.0 (fma m m (* 1.0 m))) v))
7.0ms	(* (fma 1.0 1.0 (fma m m (* 1.0 m))) v)
112.0ms	(* m (- (pow 1.0 3) (pow m 3)))
328.0ms	(* (- (/ (* m (- (pow 1.0 3) (pow m 3))) (* (fma 1.0 1.0 (fma m m (* 1.0 m))) v)) 1.0) (- 1.0 m))

series377.0ms

Counts

4 → 12

Calls

4 calls:

118.0ms	(/ (* m (- (pow 1.0 3) (pow m 3))) (* (fma 1.0 1.0 (fma m m (* 1.0 m))) v))
45.0ms	(* (fma 1.0 1.0 (fma m m (* 1.0 m))) v)
98.0ms	(* m (- (pow 1.0 3) (pow m 3)))
115.0ms	(* (- (/ (* m (- (pow 1.0 3) (pow m 3))) (* (fma 1.0 1.0 (fma m m (* 1.0 m))) v)) 1.0) (- 1.0 m))

simplify88.0ms

Algorithm

egg-herbie

Counts

447 → 447

Iterations

Useful iterations: 1 (27.0ms)

Iter	Nodes	Cost
0	1176	5830
1	5002	4330

prune428.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (fma 1.0 1.0 (fma m m (* 1.0 m))) v)
0.1b	(* m (- (pow 1.0 3) (pow m 3)))
0.1b	(* m (- (pow 1.0 3) (pow m 3)))
0.2b	(* (- (/ (* m (- (pow 1.0 3) (pow m 3))) (* (fma 1.0 1.0 (fma m m (* 1.0 m))) v)) 1.0) (- m))

rewrite606.0ms

Algorithm

rewrite-expression-head

Rules

576×	`prod-diff`
360×	`add-sqr-sqrt`
324×	`*-un-lft-identity`
312×	`unpow-prod-down` `cube-prod`
302×	`add-cube-cbrt`
292×	`distribute-rgt-in` `distribute-lft-in`
112×	`sqr-pow`
96×	`cube-mult` `unpow3`
63×	`associate-r`
33×	`difference-of-squares`
14×	`associate-l`
12×	`pow1` `add-exp-log` `add-cbrt-cube`
11×	`distribute-lft-out--`
4×	`expm1-log1p-u` `sub-neg` `associate-r/` `pow-prod-down` `prod-exp` `-commutative` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`distribute-lft-neg-in` `flip3--` `distribute-rgt-neg-in` `flip--`
2×	`difference-cubes` `associate-*l/`
1×	`neg-mul-1` `distribute-rgt-neg-out`

Counts

4 → 724

Calls

4 calls:

7.0ms	(* (fma 1.0 1.0 (fma m m (* 1.0 m))) v)
114.0ms	(* m (- (pow 1.0 3) (pow m 3)))
111.0ms	(* m (- (pow 1.0 3) (pow m 3)))
318.0ms	(* (- (/ (* m (- (pow 1.0 3) (pow m 3))) (* (fma 1.0 1.0 (fma m m (* 1.0 m))) v)) 1.0) (- m))

series359.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(* (fma 1.0 1.0 (fma m m (* 1.0 m))) v)
101.0ms	(* m (- (pow 1.0 3) (pow m 3)))
98.0ms	(* m (- (pow 1.0 3) (pow m 3)))
117.0ms	(* (- (/ (* m (- (pow 1.0 3) (pow m 3))) (* (fma 1.0 1.0 (fma m m (* 1.0 m))) v)) 1.0) (- m))

simplify233.0ms

Algorithm

egg-herbie

Counts

736 → 736

Iterations

Useful iterations: 2 (141.0ms)

Iter	Nodes	Cost
0	944	8902
1	4296	6247
2	5001	5657

prune528.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* 1.0 (/ m v)) (/ (pow m 2) v))
0.1b	(* (- (- (* 1.0 (/ m v)) (/ (pow m 2) v)) 1.0) (- 1.0 m))
15.9b	(/ (pow m 2) v)

rewrite429.0ms

Algorithm

rewrite-expression-head

Rules

55×	`add-sqr-sqrt`
54×	`*-un-lft-identity`
49×	`add-cube-cbrt` `times-frac`
46×	`prod-diff`
21×	`unpow-prod-down`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`add-exp-log`
8×	`associate-/l*` `unpow2`
7×	`flip3--` `add-cbrt-cube` `flip--` `sqr-pow`
5×	`pow1` `associate-r` `associate-l` `add-log-exp`
4×	`frac-times` `associate-*r/`
3×	`expm1-log1p-u` `sub-neg` `div-exp` `associate-/r*` `log1p-expm1-u`
2×	`associate-*l/` `div-inv` `distribute-lft-out--` `difference-of-squares`
1×	`cbrt-undiv` `pow-to-exp` `distribute-rgt-out--` `frac-2neg` `fma-neg` `diff-log` `pow-prod-down` `pow-exp` `prod-exp` `clear-num` `*-commutative` `frac-sub` `cbrt-unprod` `sub-div` `unswap-sqr`

Counts

3 → 151

Calls

3 calls:

22.0ms	(- (* 1.0 (/ m v)) (/ (pow m 2) v))
392.0ms	(* (- (- (* 1.0 (/ m v)) (/ (pow m 2) v)) 1.0) (- 1.0 m))
9.0ms	(/ (pow m 2) v)

series93.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(- (* 1.0 (/ m v)) (/ (pow m 2) v))
37.0ms	(* (- (- (* 1.0 (/ m v)) (/ (pow m 2) v)) 1.0) (- 1.0 m))
19.0ms	(/ (pow m 2) v)

simplify111.0ms

Algorithm

egg-herbie

Counts

160 → 160

Iterations

Useful iterations: 2 (94.0ms)

Iter	Nodes	Cost
0	945	2063
1	4088	1510
2	5001	1505

prune280.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes58.0ms

Accuracy

0% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 0.7b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	24
1	30	24
2	31	24
3	31	24

end0.0ms

sample756.0ms

Algorithm

intervals

Results

302.0ms	13558×	body	80	valid
162.0ms	13558×	pre	80	true