Details

sample276.0ms

Algorithm

intervals

Results

10.0ms	422×	body	80	valid
6.0ms	422×	pre	80	true

simplify117.0ms

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

prune4.0ms

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

rewrite31.0ms

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:

7.0ms	(* m (- 1.0 m))
7.0ms	(/ (* m (- 1.0 m)) v)
14.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series141.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(* m (- 1.0 m))
38.0ms	(/ (* m (- 1.0 m)) v)
55.0ms	(* (- (/ (* 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

prune154.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
14×	`add-cube-cbrt`
13×	`times-frac`
7×	`add-exp-log` `add-cbrt-cube`
6×	`associate-l`
5×	`pow1` `distribute-rgt-out` `add-log-exp`
4×	`distribute-lft-neg-out` `associate-/l*`
3×	`associate-r` `associate-/r*`
2×	`flip3-+` `div-sub` `unsub-neg` `associate-*l/` `flip-+` `associate-/l/` `difference-of-squares`
1×	`cbrt-undiv` `+-commutative` `flip3--` `frac-2neg` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `sum-log` `*-commutative` `flip--` `cbrt-unprod` `div-inv` `distribute-lft-out--` `unswap-sqr`

Counts

3 → 72

Calls

3 calls:

4.0ms	(+ (* 1.0 m) (* (- m) m))
6.0ms	(/ (+ (* 1.0 m) (* (- m) m)) v)
13.0ms	(* (- (/ (+ (* 1.0 m) (* (- m) m)) v) 1.0) m)

series142.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(+ (* 1.0 m) (* (- m) m))
49.0ms	(/ (+ (* 1.0 m) (* (- m) m)) v)
35.0ms	(* (- (/ (+ (* 1.0 m) (* (- m) m)) v) 1.0) m)

simplify43.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	315	647
1	1365	566
2	5001	552

prune176.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

141×	`times-frac`
139×	`*-un-lft-identity`
84×	`add-sqr-sqrt`
73×	`add-cube-cbrt`
32×	`distribute-lft-out`
26×	`associate-/r*`
16×	`distribute-rgt-neg-in`
12×	`add-exp-log` `add-cbrt-cube`
11×	`associate-/r/`
7×	`associate-l`
6×	`div-inv` `associate-/l*`
5×	`pow1` `flip3-+` `flip-+`
4×	`cbrt-undiv` `div-exp`
3×	`associate-r` `add-log-exp` `difference-of-squares`
2×	`frac-2neg` `associate-*l/` `clear-num`
1×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `distribute-lft-out--` `unswap-sqr`

Counts

3 → 163

Calls

3 calls:

7.0ms	(/ v (+ 1.0 (- m)))
10.0ms	(/ m (/ v (+ 1.0 (- m))))
33.0ms	(* (- (/ m (/ v (+ 1.0 (- m)))) 1.0) m)

series110.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(/ v (+ 1.0 (- m)))
41.0ms	(/ m (/ v (+ 1.0 (- m))))
35.0ms	(* (- (/ m (/ v (+ 1.0 (- m)))) 1.0) m)

simplify75.0ms

Algorithm

egg-herbie

Counts

172 → 172

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	566	1419
1	2745	1294
2	5002	1280

prune331.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ v (- (pow 1.0 3) (pow m 3)))
0.1b	(* (/ v (- (pow 1.0 3) (pow m 3))) (+ (* 1.0 1.0) (- (* (- m) (- m)) (* 1.0 (- m)))))
0.1b	(/ m (* (/ v (- (pow 1.0 3) (pow m 3))) (+ (* 1.0 1.0) (- (* (- m) (- m)) (* 1.0 (- m))))))
0.2b	(* (- (/ m (* (/ v (- (pow 1.0 3) (pow m 3))) (+ (* 1.0 1.0) (- (* (- m) (- m)) (* 1.0 (- m)))))) 1.0) m)

rewrite131.0ms

Algorithm

rewrite-expression-head

Rules

245×	`add-sqr-sqrt`
154×	`times-frac`
140×	`*-un-lft-identity`
113×	`difference-of-squares`
86×	`associate-l`
84×	`unpow-prod-down` `cube-prod`
68×	`add-cube-cbrt`
56×	`sqr-pow`
36×	`distribute-lft-out--`
26×	`associate-/r*`
22×	`add-exp-log` `add-cbrt-cube`
9×	`associate-/r/`
8×	`pow1`
7×	`difference-cubes`
6×	`cbrt-undiv` `div-exp` `associate-r` `associate-/l*`
5×	`prod-exp` `cbrt-unprod`
4×	`frac-times` `flip3-+` `associate-r/` `associate-l/` `flip-+` `add-log-exp`
3×	`flip3--` `flip--` `div-inv` `unswap-sqr`
2×	`frac-2neg` `pow-prod-down` `clear-num` `*-commutative`
1×	`distribute-rgt-in` `distribute-lft-in`

Counts

4 → 273

Calls

4 calls:

19.0ms	(/ v (- (pow 1.0 3) (pow m 3)))
33.0ms	(* (/ v (- (pow 1.0 3) (pow m 3))) (+ (* 1.0 1.0) (- (* (- m) (- m)) (* 1.0 (- m)))))
27.0ms	(/ m (* (/ v (- (pow 1.0 3) (pow m 3))) (+ (* 1.0 1.0) (- (* (- m) (- m)) (* 1.0 (- m))))))
36.0ms	(* (- (/ m (* (/ v (- (pow 1.0 3) (pow m 3))) (+ (* 1.0 1.0) (- (* (- m) (- m)) (* 1.0 (- m)))))) 1.0) m)

series339.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(/ v (- (pow 1.0 3) (pow m 3)))
89.0ms	(* (/ v (- (pow 1.0 3) (pow m 3))) (+ (* 1.0 1.0) (- (* (- m) (- m)) (* 1.0 (- m)))))
104.0ms	(/ m (* (/ v (- (pow 1.0 3) (pow m 3))) (+ (* 1.0 1.0) (- (* (- m) (- m)) (* 1.0 (- m))))))
95.0ms	(* (- (/ m (* (/ v (- (pow 1.0 3) (pow m 3))) (+ (* 1.0 1.0) (- (* (- m) (- m)) (* 1.0 (- m)))))) 1.0) m)

simplify61.0ms

Algorithm

egg-herbie

Counts

285 → 285

Iterations

Useful iterations: 1 (28.0ms)

Iter	Nodes	Cost
0	1142	3620
1	5001	3232

prune765.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes64.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	16
1	37	16
2	39	16
3	68	16
4	100	16
5	111	16
6	126	16
7	135	16
8	135	16

end0.0ms

sample721.0ms

Algorithm

intervals

Results

317.0ms	13708×	body	80	valid
186.0ms	13708×	pre	80	true