Details

sample278.0ms

Algorithm

intervals

Results

10.0ms	428×	body	80	valid
6.0ms	428×	pre	80	true

simplify79.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	16	6
1	40	6
2	105	6
3	354	6
4	1102	6
5	3189	6
6	5002	6

prune3.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 83

Calls

3 calls:

10.0ms	(* m (- 1.0 m))
7.0ms	(/ (* m (- 1.0 m)) v)
56.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

series133.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(* m (- 1.0 m))
43.0ms	(/ (* m (- 1.0 m)) v)
45.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

simplify57.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	389	602
1	1946	551
2	5003	545

prune174.0ms

Filtered

92 candidates to 61 candidates (66.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite237.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 175

Calls

3 calls:

5.0ms	(/ v (- 1.0 m))
211.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))
10.0ms	(/ m (/ v (- 1.0 m)))

series111.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(/ v (- 1.0 m))
36.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))
37.0ms	(/ m (/ v (- 1.0 m)))

simplify88.0ms

Algorithm

egg-herbie

Counts

184 → 184

Iterations

Useful iterations: 2 (72.0ms)

Iter	Nodes	Cost
0	684	1470
1	3431	1414
2	5002	1413

prune396.0ms

Filtered

184 candidates to 138 candidates (75.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite342.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 199

Calls

4 calls:

11.0ms	(/ v (- (sqrt 1.0) (sqrt m)))
275.0ms	(* (- (/ (* m (+ (sqrt 1.0) (sqrt m))) (/ v (- (sqrt 1.0) (sqrt m)))) 1.0) (- 1.0 m))
20.0ms	(* m (+ (sqrt 1.0) (sqrt m)))
26.0ms	(/ (* m (+ (sqrt 1.0) (sqrt m))) (/ v (- (sqrt 1.0) (sqrt m))))

series727.0ms

Counts

4 → 12

Calls

4 calls:

188.0ms	(/ v (- (sqrt 1.0) (sqrt m)))
139.0ms	(* (- (/ (* m (+ (sqrt 1.0) (sqrt m))) (/ v (- (sqrt 1.0) (sqrt m)))) 1.0) (- 1.0 m))
69.0ms	(* m (+ (sqrt 1.0) (sqrt m)))
331.0ms	(/ (* m (+ (sqrt 1.0) (sqrt m))) (/ v (- (sqrt 1.0) (sqrt m))))

simplify46.0ms

Algorithm

egg-herbie

Counts

211 → 211

Iterations

Useful iterations: 1 (24.0ms)

Iter	Nodes	Cost
0	989	2675
1	5001	2286

prune467.0ms

Filtered

211 candidates to 134 candidates (63.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (/ m (/ v (- (pow (sqrt 1.0) 3) (pow (sqrt m) 3)))) (/ (+ (sqrt 1.0) (sqrt m)) (+ (* (sqrt 1.0) (sqrt 1.0)) (+ (* (sqrt m) (sqrt m)) (* (sqrt 1.0) (sqrt m))))))
0.1b	(/ (+ (sqrt 1.0) (sqrt m)) (+ (* (sqrt 1.0) (sqrt 1.0)) (+ (* (sqrt m) (sqrt m)) (* (sqrt 1.0) (sqrt m)))))
0.5b	(pow (sqrt m) 3)
0.5b	(* (sqrt m) (sqrt m))

rewrite556.0ms

Algorithm

rewrite-expression-head

Rules

939×	`times-frac`
922×	`add-sqr-sqrt`
539×	`*-un-lft-identity`
470×	`associate-l`
349×	`add-cube-cbrt`
326×	`sqrt-prod`
324×	`difference-of-squares`
294×	`unpow-prod-down` `cube-prod`
109×	`sqr-pow`
81×	`distribute-lft-out--`
30×	`add-exp-log` `add-cbrt-cube`
27×	`associate-r`
23×	`pow1`
14×	`distribute-lft-out`
11×	`associate-/r/`
10×	`cbrt-undiv` `div-exp` `unswap-sqr`
9×	`difference-cubes` `sqrt-pow1` `pow1/2`
8×	`swap-sqr`
7×	`prod-exp` `cbrt-unprod`
6×	`div-inv`
5×	`pow-prod-up` `associate-/l*`
4×	`pow-prod-down` `add-log-exp`
3×	`pow-unpow` `flip3--` `pow-pow` `flip3-+` `associate-/r*` `pow-sqr` `flip--` `flip-+`
2×	`*-commutative` `associate-/l/`
1×	`pow2` `cube-mult` `frac-times` `pow-to-exp` `frac-2neg` `pow-plus` `sqrt-unprod` `unpow3` `associate-r/` `associate-l/` `pow-exp` `clear-num` `rem-square-sqrt` `sqrt-pow2` `rem-cube-cbrt`

Counts

4 → 635

Calls

4 calls:

429.0ms	(* (/ m (/ v (- (pow (sqrt 1.0) 3) (pow (sqrt m) 3)))) (/ (+ (sqrt 1.0) (sqrt m)) (+ (* (sqrt 1.0) (sqrt 1.0)) (+ (* (sqrt m) (sqrt m)) (* (sqrt 1.0) (sqrt m))))))
44.0ms	(/ (+ (sqrt 1.0) (sqrt m)) (+ (* (sqrt 1.0) (sqrt 1.0)) (+ (* (sqrt m) (sqrt m)) (* (sqrt 1.0) (sqrt m)))))
2.0ms	(pow (sqrt m) 3)
7.0ms	(* (sqrt m) (sqrt m))

series9.7s

Counts

4 → 12

Calls

4 calls:

9.0s	(* (/ m (/ v (- (pow (sqrt 1.0) 3) (pow (sqrt m) 3)))) (/ (+ (sqrt 1.0) (sqrt m)) (+ (* (sqrt 1.0) (sqrt 1.0)) (+ (* (sqrt m) (sqrt m)) (* (sqrt 1.0) (sqrt m))))))
648.0ms	(/ (+ (sqrt 1.0) (sqrt m)) (+ (* (sqrt 1.0) (sqrt 1.0)) (+ (* (sqrt m) (sqrt m)) (* (sqrt 1.0) (sqrt m)))))
51.0ms	(pow (sqrt m) 3)
16.0ms	(* (sqrt m) (sqrt m))

simplify156.0ms

Algorithm

egg-herbie

Counts

647 → 647

Iterations

Useful iterations: 1 (49.0ms)

Iter	Nodes	Cost
0	2683	12733
1	5002	12413

prune1.5s

Filtered

647 candidates to 262 candidates (40.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes50.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	6
1	9	6

end0.0ms

sample718.0ms

Algorithm

intervals

Results

312.0ms	13666×	body	80	valid
181.0ms	13666×	pre	80	true