Details

sample277.0ms

Algorithm

intervals

Results

10.0ms	420×	body	80	valid
6.0ms	420×	pre	80	true

simplify127.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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: 0.1b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite82.0ms

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

series131.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(* m (- 1.0 m))
41.0ms	(/ (* m (- 1.0 m)) v)
45.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify61.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (53.0ms)

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

prune177.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- 1.0 m) v)
0.1b	(* (- (* 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)
15.0ms	(* m (/ (- 1.0 m) v))

series106.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(/ (- 1.0 m) v)
35.0ms	(* (- (* m (/ (- 1.0 m) v)) 1.0) m)
36.0ms	(* m (/ (- 1.0 m) v))

simplify52.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (44.0ms)

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

prune216.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- 1.0 m) v)
0.1b	(* (- (* (sqrt m) (* (sqrt m) (/ (- 1.0 m) v))) 1.0) m)
0.4b	(* (sqrt m) (/ (- 1.0 m) v))
0.4b	(* (sqrt m) (* (sqrt m) (/ (- 1.0 m) v)))

rewrite127.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 133

Calls

4 calls:

8.0ms	(/ (- 1.0 m) v)
75.0ms	(* (- (* (sqrt m) (* (sqrt m) (/ (- 1.0 m) v))) 1.0) m)
19.0ms	(* (sqrt m) (/ (- 1.0 m) v))
20.0ms	(* (sqrt m) (* (sqrt m) (/ (- 1.0 m) v)))

series229.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(/ (- 1.0 m) v)
52.0ms	(* (- (* (sqrt m) (* (sqrt m) (/ (- 1.0 m) v))) 1.0) m)
79.0ms	(* (sqrt m) (/ (- 1.0 m) v))
63.0ms	(* (sqrt m) (* (sqrt m) (/ (- 1.0 m) v)))

simplify67.0ms

Algorithm

egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	522	980
1	2328	835
2	5002	822

prune317.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (sqrt m) (- 1.0 m))
0.1b	(* (- (* (sqrt m) (/ (* (sqrt m) (- 1.0 m)) v)) 1.0) m)
0.3b	(/ (* (sqrt m) (- 1.0 m)) v)
0.4b	(* (sqrt m) (/ (* (sqrt m) (- 1.0 m)) v))

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 130

Calls

4 calls:

13.0ms	(* (sqrt m) (- 1.0 m))
56.0ms	(* (- (* (sqrt m) (/ (* (sqrt m) (- 1.0 m)) v)) 1.0) m)
11.0ms	(/ (* (sqrt m) (- 1.0 m)) v)
17.0ms	(* (sqrt m) (/ (* (sqrt m) (- 1.0 m)) v))

series245.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(* (sqrt m) (- 1.0 m))
52.0ms	(* (- (* (sqrt m) (/ (* (sqrt m) (- 1.0 m)) v)) 1.0) m)
77.0ms	(/ (* (sqrt m) (- 1.0 m)) v)
62.0ms	(* (sqrt m) (/ (* (sqrt m) (- 1.0 m)) v))

simplify76.0ms

Algorithm

egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	588	1163
1	2718	895
2	5001	883

prune257.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes55.0ms

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

sample705.0ms

Algorithm

intervals

Results

311.0ms	13757×	body	80	valid
178.0ms	13757×	pre	80	true