Details

sample287.0ms

Algorithm

intervals

Results

11.0ms	450×	body	80	valid
7.0ms	450×	pre	80	true

simplify131.0ms

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 2 expressions with local error:

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

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 49

Calls

2 calls:

9.0ms	(/ (* m (- 1.0 m)) v)
15.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series94.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(/ (* m (- 1.0 m)) v)
56.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify36.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	271	325
1	1198	291
2	5001	284

prune116.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

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

rewrite32.0ms

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:

7.0ms	(/ (- 1.0 m) v)
10.0ms	(* (- (* m (/ (- 1.0 m) v)) 1.0) m)
12.0ms	(* m (/ (- 1.0 m) v))

series108.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(/ (- 1.0 m) v)
39.0ms	(* (- (* m (/ (- 1.0 m) v)) 1.0) m)
37.0ms	(* m (/ (- 1.0 m) v))

simplify53.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (45.0ms)

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

prune213.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

44×	`times-frac`
34×	`add-sqr-sqrt`
31×	`add-exp-log`
29×	`*-un-lft-identity`
25×	`add-cube-cbrt`
19×	`add-cbrt-cube`
14×	`div-exp`
11×	`associate-/r/`
10×	`associate-r/` `associate-/r`
8×	`associate-l`
7×	`cbrt-undiv` `div-inv`
6×	`pow1` `flip3--` `flip--` `associate-/l*`
5×	`prod-exp`
3×	`expm1-log1p-u` `rec-exp` `1-exp` `associate-r` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `difference-of-squares`
2×	`frac-2neg` `associate-*l/` `clear-num` `distribute-lft-out--`
1×	`pow-flip` `pow-prod-down` `*-commutative` `inv-pow` `unswap-sqr`

Counts

3 → 118

Calls

3 calls:

6.0ms	(/ v (* m (- 1.0 m)))
20.0ms	(* (- (/ 1 (/ v (* m (- 1.0 m)))) 1.0) m)
11.0ms	(/ 1 (/ v (* m (- 1.0 m))))

series139.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(/ v (* m (- 1.0 m)))
51.0ms	(* (- (/ 1 (/ v (* m (- 1.0 m)))) 1.0) m)
45.0ms	(/ 1 (/ v (* m (- 1.0 m))))

simplify64.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	501	884
1	2477	735
2	5001	714

prune212.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- 1.0 m) v)
0.2b	(* (- (* m (/ (- 1.0 m) v)) 1.0) (sqrt m))
0.2b	(* m (/ (- 1.0 m) v))
0.4b	(* (* (- (* m (/ (- 1.0 m) v)) 1.0) (sqrt m)) (sqrt m))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 131

Calls

4 calls:

7.0ms	(/ (- 1.0 m) v)
12.0ms	(* (- (* m (/ (- 1.0 m) v)) 1.0) (sqrt m))
10.0ms	(* m (/ (- 1.0 m) v))
13.0ms	(* (* (- (* m (/ (- 1.0 m) v)) 1.0) (sqrt m)) (sqrt m))

series192.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(/ (- 1.0 m) v)
71.0ms	(* (- (* m (/ (- 1.0 m) v)) 1.0) (sqrt m))
39.0ms	(* m (/ (- 1.0 m) v))
47.0ms	(* (* (- (* m (/ (- 1.0 m) v)) 1.0) (sqrt m)) (sqrt m))

simplify68.0ms

Algorithm

egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	514	929
1	2274	819
2	5002	805

prune269.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

regimes68.0ms

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	14	6
1	14	6

end0.0ms

sample766.0ms

Algorithm

intervals

Results

339.0ms	13696×	body	80	valid
196.0ms	13696×	pre	80	true