Details

sample277.0ms

Algorithm

intervals

Results

11.0ms	422×	body	80	valid
6.0ms	422×	pre	80	true

simplify116.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	5
1	34	5
2	67	5
3	169	5
4	345	5
5	466	5
6	670	5
7	1014	5
8	1528	5
9	2117	5
10	3037	5
11	5001	5

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

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)

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`*-un-lft-identity`
12×	`add-exp-log` `add-cbrt-cube`
9×	`add-cube-cbrt`
8×	`associate-r` `associate-l`
7×	`pow1`
4×	`associate-*r/`
3×	`flip3--` `times-frac` `prod-exp` `associate-/r*` `flip--` `cbrt-unprod` `add-log-exp`
2×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `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 → 71

Calls

3 calls:

19.0ms	(* m (- 1.0 m))
7.0ms	(/ (* m (- 1.0 m)) v)
37.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series134.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(* m (- 1.0 m))
42.0ms	(/ (* m (- 1.0 m)) v)
45.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify48.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	310	409
1	1511	363
2	5001	357

prune150.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(* m (- 1.0 m))
0.0b	(/ v (* m (- 1.0 m)))
0.1b	(* (- (/ 1 (/ v (* m (- 1.0 m)))) 1.0) m)
0.3b	(/ 1 (/ v (* m (- 1.0 m))))

rewrite150.0ms

Algorithm

rewrite-expression-head

Rules

44×	`times-frac`
41×	`add-sqr-sqrt`
34×	`add-exp-log` `*-un-lft-identity`
28×	`add-cube-cbrt`
22×	`add-cbrt-cube`
14×	`div-exp`
12×	`associate-*r/`
11×	`associate-l` `associate-/r/`
10×	`associate-/r*`
9×	`pow1`
8×	`associate-r`
7×	`cbrt-undiv` `flip3--` `flip--` `div-inv`
6×	`prod-exp` `associate-/l*`
4×	`cbrt-unprod` `add-log-exp` `difference-of-squares`
3×	`rec-exp` `1-exp` `distribute-lft-out--`
2×	`distribute-rgt-in` `sub-neg` `frac-2neg` `distribute-lft-in` `pow-prod-down` `associate-l/` `clear-num` `-commutative` `unswap-sqr`
1×	`pow-flip` `inv-pow`

Counts

4 → 138

Calls

4 calls:

10.0ms	(* m (- 1.0 m))
5.0ms	(/ v (* m (- 1.0 m)))
120.0ms	(* (- (/ 1 (/ v (* m (- 1.0 m)))) 1.0) m)
11.0ms	(/ 1 (/ v (* m (- 1.0 m))))

series188.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(* m (- 1.0 m))
44.0ms	(/ v (* m (- 1.0 m)))
49.0ms	(* (- (/ 1 (/ v (* m (- 1.0 m)))) 1.0) m)
49.0ms	(/ 1 (/ v (* m (- 1.0 m))))

simplify70.0ms

Algorithm

egg-herbie

Counts

150 → 150

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	522	956
1	2623	799
2	5001	785

prune236.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (* m (- 1.0 m)))
0.1b	(* (- (/ 1 (* v (/ 1 (* m (- 1.0 m))))) 1.0) m)
0.2b	(* v (/ 1 (* m (- 1.0 m))))
0.3b	(/ 1 (* v (/ 1 (* m (- 1.0 m)))))

rewrite246.0ms

Algorithm

rewrite-expression-head

Rules

104×	`add-exp-log`
44×	`prod-exp`
36×	`div-exp`
34×	`add-cbrt-cube`
19×	`add-sqr-sqrt`
18×	`rec-exp` `1-exp`
16×	`*-un-lft-identity`
14×	`pow1`
13×	`add-cube-cbrt`
12×	`associate-r`
10×	`cbrt-undiv` `cbrt-unprod`
9×	`times-frac` `associate-l`
6×	`associate-r/` `associate-/r/` `associate-/l`
4×	`pow-flip` `pow-prod-down` `div-inv` `add-log-exp`
3×	`flip3--` `flip--`
2×	`frac-2neg` `associate-l/` `clear-num` `associate-/r` `un-div-inv` `*-commutative` `distribute-lft-out--` `inv-pow` `unswap-sqr`
1×	`difference-of-squares`

Counts

4 → 137

Calls

4 calls:

8.0ms	(/ 1 (* m (- 1.0 m)))
169.0ms	(* (- (/ 1 (* v (/ 1 (* m (- 1.0 m))))) 1.0) m)
23.0ms	(* v (/ 1 (* m (- 1.0 m))))
41.0ms	(/ 1 (* v (/ 1 (* m (- 1.0 m)))))

series173.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(/ 1 (* m (- 1.0 m)))
50.0ms	(* (- (/ 1 (* v (/ 1 (* m (- 1.0 m))))) 1.0) m)
41.0ms	(* v (/ 1 (* m (- 1.0 m))))
49.0ms	(/ 1 (* v (/ 1 (* m (- 1.0 m)))))

simplify71.0ms

Algorithm

egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	562	934
1	2667	741
2	5001	731

prune207.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ (* m (+ m 1.0)) (* 1.0 1.0)) v)
0.0b	(* m (- (pow 1.0 3) (pow m 3)))
0.1b	(* (- (/ (* m (- (pow 1.0 3) (pow m 3))) (* (+ (* m (+ m 1.0)) (* 1.0 1.0)) v)) 1.0) m)
0.3b	(/ (* m (- (pow 1.0 3) (pow m 3))) (* (+ (* m (+ m 1.0)) (* 1.0 1.0)) v))

rewrite255.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 113

Calls

4 calls:

17.0ms	(* (+ (* m (+ m 1.0)) (* 1.0 1.0)) v)
55.0ms	(* m (- (pow 1.0 3) (pow m 3)))
154.0ms	(* (- (/ (* m (- (pow 1.0 3) (pow m 3))) (* (+ (* m (+ m 1.0)) (* 1.0 1.0)) v)) 1.0) m)
25.0ms	(/ (* m (- (pow 1.0 3) (pow m 3))) (* (+ (* m (+ m 1.0)) (* 1.0 1.0)) v))

series336.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* (+ (* m (+ m 1.0)) (* 1.0 1.0)) v)
97.0ms	(* m (- (pow 1.0 3) (pow m 3)))
93.0ms	(* (- (/ (* m (- (pow 1.0 3) (pow m 3))) (* (+ (* m (+ m 1.0)) (* 1.0 1.0)) v)) 1.0) m)
110.0ms	(/ (* m (- (pow 1.0 3) (pow m 3))) (* (+ (* m (+ m 1.0)) (* 1.0 1.0)) v))

simplify108.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 1 (17.0ms)

Iter	Nodes	Cost
0	616	1181
1	3427	1003
2	5002	1003

prune298.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes63.0ms

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	14	6
1	14	6

end0.0ms

sample711.0ms

Algorithm

intervals

Results

321.0ms	13672×	body	80	valid
174.0ms	13672×	pre	80	true