Details

sample288.0ms

Algorithm

intervals

Results

10.0ms	447×	body	80	valid
6.0ms	447×	pre	80	true

simplify129.0ms

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

localize9.0ms

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)

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
21×	`add-cube-cbrt`
18×	`prod-diff`
12×	`add-exp-log` `add-cbrt-cube`
11×	`distribute-rgt-in` `distribute-lft-in`
8×	`associate-r` `associate-l`
7×	`pow1`
4×	`associate-*r/`
3×	`expm1-log1p-u` `flip3--` `times-frac` `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/` `-commutative` `associate-/l/` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`frac-2neg` `clear-num` `div-inv` `associate-/l*`

Counts

3 → 95

Calls

3 calls:

11.0ms	(* m (- 1.0 m))
10.0ms	(/ (* m (- 1.0 m)) v)
54.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series135.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(* m (- 1.0 m))
43.0ms	(/ (* m (- 1.0 m)) v)
45.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify64.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	394	683
1	1939	511
2	5001	505

prune175.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- 1.0 m) v)
0.2b	(* (- (* m (/ (- 1.0 m) v)) 1.0) m)
0.3b	(* m (/ (- 1.0 m) v))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 102

Calls

3 calls:

11.0ms	(/ (- 1.0 m) v)
22.0ms	(* (- (* m (/ (- 1.0 m) v)) 1.0) m)
14.0ms	(* m (/ (- 1.0 m) v))

series111.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(/ (- 1.0 m) v)
36.0ms	(* (- (* m (/ (- 1.0 m) v)) 1.0) m)
38.0ms	(* m (/ (- 1.0 m) v))

simplify52.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	384	599
1	1676	549
2	5003	543

prune209.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(* m (- 1.0 m))
0.2b	(* (- (* (* m (- 1.0 m)) (/ 1 v)) 1.0) m)
0.3b	(* (* m (- 1.0 m)) (/ 1 v))

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt`
29×	`add-exp-log`
28×	`*-un-lft-identity`
26×	`add-cube-cbrt`
21×	`associate-r`
19×	`add-cbrt-cube`
18×	`prod-diff`
14×	`prod-exp`
12×	`pow1`
11×	`distribute-rgt-in` `distribute-lft-in`
9×	`times-frac`
8×	`cbrt-unprod`
7×	`associate-r/` `associate-l*`
5×	`pow-prod-down`
4×	`flip3--` `div-exp` `associate-*l/` `flip--`
3×	`expm1-log1p-u` `*-commutative` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `frac-times` `sub-neg` `rec-exp` `1-exp` `unswap-sqr`
1×	`un-div-inv` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 112

Calls

3 calls:

11.0ms	(* m (- 1.0 m))
64.0ms	(* (- (* (* m (- 1.0 m)) (/ 1 v)) 1.0) m)
18.0ms	(* (* m (- 1.0 m)) (/ 1 v))

series126.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(* m (- 1.0 m))
36.0ms	(* (- (* (* m (- 1.0 m)) (/ 1 v)) 1.0) m)
41.0ms	(* (* m (- 1.0 m)) (/ 1 v))

simplify78.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 2 (69.0ms)

Iter	Nodes	Cost
0	520	834
1	2712	629
2	5002	609

prune180.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (- (* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v))) 1.0) m)
0.3b	(/ (- 1.0 m) (sqrt v))
0.3b	(/ m (sqrt v))
0.4b	(* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v)))

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

128×	`add-sqr-sqrt`
108×	`times-frac`
96×	`*-un-lft-identity`
70×	`add-cube-cbrt`
60×	`sqrt-prod`
37×	`associate-r`
25×	`associate-l`
22×	`add-exp-log` `add-cbrt-cube`
13×	`distribute-lft-out--` `difference-of-squares`
12×	`associate-/r*`
10×	`unswap-sqr`
8×	`pow1` `associate-/l*`
6×	`cbrt-undiv` `div-exp`
5×	`prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`associate-*l/`
2×	`flip3--` `frac-2neg` `pow-prod-down` `clear-num` `*-commutative` `flip--` `associate-/l/`
1×	`frac-times` `div-sub` `associate-*r/`

Counts

4 → 208

Calls

4 calls:

42.0ms	(* (- (* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v))) 1.0) m)
9.0ms	(/ (- 1.0 m) (sqrt v))
3.0ms	(/ m (sqrt v))
33.0ms	(* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v)))

series186.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(* (- (* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v))) 1.0) m)
45.0ms	(/ (- 1.0 m) (sqrt v))
45.0ms	(/ m (sqrt v))
52.0ms	(* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v)))

simplify89.0ms

Algorithm

egg-herbie

Counts

220 → 220

Iterations

Useful iterations: 2 (73.0ms)

Iter	Nodes	Cost
0	816	1741
1	3728	1603
2	5002	1526

prune448.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes53.0ms

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	10	5
1	10	5

end0.0ms

sample682.0ms

Algorithm

intervals

Results

298.0ms	13788×	body	80	valid
173.0ms	13788×	pre	80	true