Details

sample297.0ms

Algorithm

intervals

Results

11.0ms	453×	body	80	valid
6.0ms	453×	pre	80	true

simplify78.0ms

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

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

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 71

Calls

3 calls:

10.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
52.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
9.0ms	(/ (* m (- 1.0 m)) v)

series108.0ms

Counts

3 → 9

Calls

3 calls:

23.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
39.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
46.0ms	(/ (* m (- 1.0 m)) v)

simplify47.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	362	625
1	1704	577
2	5002	565

prune150.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 4 expressions with local error:

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

rewrite305.0ms

Algorithm

rewrite-expression-head

Rules

144×	`times-frac`
128×	`add-sqr-sqrt`
112×	`*-un-lft-identity`
74×	`add-cube-cbrt`
26×	`associate-/r*`
23×	`difference-of-squares`
19×	`distribute-lft-out--`
13×	`add-exp-log` `add-cbrt-cube`
12×	`flip3--` `flip--`
11×	`associate-/r/`
7×	`associate-l`
6×	`pow1` `div-inv` `associate-/l*` `add-log-exp`
5×	`associate-r`
4×	`cbrt-undiv` `frac-times` `div-exp`
3×	`sub-neg`
2×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `associate-r/` `associate-l/` `clear-num`
1×	`diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 191

Calls

4 calls:

68.0ms	(- (/ m (/ v (- 1.0 m))) 1.0)
5.0ms	(/ v (- 1.0 m))
213.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))
10.0ms	(/ m (/ v (- 1.0 m)))

series131.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(- (/ m (/ v (- 1.0 m))) 1.0)
33.0ms	(/ v (- 1.0 m))
38.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))
36.0ms	(/ m (/ v (- 1.0 m)))

simplify91.0ms

Algorithm

egg-herbie

Counts

203 → 203

Iterations

Useful iterations: 2 (72.0ms)

Iter	Nodes	Cost
0	699	1623
1	3448	1558
2	5001	1557

prune415.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite156.0ms

Algorithm

rewrite-expression-head

Rules

233×	`times-frac`
154×	`add-sqr-sqrt`
129×	`*-un-lft-identity`
117×	`add-cube-cbrt`
64×	`add-exp-log`
62×	`associate-l`
34×	`add-cbrt-cube`
29×	`div-exp`
26×	`difference-of-squares`
23×	`associate-r`
22×	`associate-/r*`
20×	`associate-/r/`
15×	`prod-exp`
14×	`flip3--` `flip--`
13×	`cbrt-undiv`
11×	`div-inv` `unswap-sqr`
9×	`pow1`
7×	`cbrt-unprod`
6×	`rec-exp` `1-exp` `associate-/l*`
5×	`frac-times`
4×	`add-log-exp`
3×	`associate-r/` `associate-l/` `distribute-lft-out`
2×	`distribute-rgt-in` `sub-neg` `frac-2neg` `distribute-lft-in` `pow-prod-down` `clear-num` `*-commutative`
1×	`pow-flip` `flip3-+` `flip-+` `distribute-lft-out--` `inv-pow`

Counts

4 → 280

Calls

4 calls:

5.0ms	(/ v (- (* 1.0 1.0) (* m m)))
67.0ms	(* (- (* (/ 1 (/ v (- (* 1.0 1.0) (* m m)))) (/ m (+ 1.0 m))) 1.0) (- 1.0 m))
12.0ms	(/ 1 (/ v (- (* 1.0 1.0) (* m m))))
55.0ms	(* (/ 1 (/ v (- (* 1.0 1.0) (* m m)))) (/ m (+ 1.0 m)))

series309.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(/ v (- (* 1.0 1.0) (* m m)))
82.0ms	(* (- (* (/ 1 (/ v (- (* 1.0 1.0) (* m m)))) (/ m (+ 1.0 m))) 1.0) (- 1.0 m))
52.0ms	(/ 1 (/ v (- (* 1.0 1.0) (* m m))))
114.0ms	(* (/ 1 (/ v (- (* 1.0 1.0) (* m m)))) (/ m (+ 1.0 m)))

simplify63.0ms

Algorithm

egg-herbie

Counts

292 → 292

Iterations

Useful iterations: 1 (30.0ms)

Iter	Nodes	Cost
0	1264	3224
1	5002	2909

prune651.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (- (/ (* m (- 1.0 m)) v) 1.0)) (cbrt (- (/ (* m (- 1.0 m)) v) 1.0)))
0.3b	(cbrt (- (/ (* m (- 1.0 m)) v) 1.0))
0.3b	(cbrt (- (/ (* m (- 1.0 m)) v) 1.0))
0.3b	(cbrt (- (/ (* m (- 1.0 m)) v) 1.0))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 101

Calls

4 calls:

61.0ms	(* (cbrt (- (/ (* m (- 1.0 m)) v) 1.0)) (cbrt (- (/ (* m (- 1.0 m)) v) 1.0)))
10.0ms	(cbrt (- (/ (* m (- 1.0 m)) v) 1.0))
7.0ms	(cbrt (- (/ (* m (- 1.0 m)) v) 1.0))
8.0ms	(cbrt (- (/ (* m (- 1.0 m)) v) 1.0))

series803.0ms

Counts

4 → 12

Calls

4 calls:

195.0ms	(* (cbrt (- (/ (* m (- 1.0 m)) v) 1.0)) (cbrt (- (/ (* m (- 1.0 m)) v) 1.0)))
203.0ms	(cbrt (- (/ (* m (- 1.0 m)) v) 1.0))
199.0ms	(cbrt (- (/ (* m (- 1.0 m)) v) 1.0))
205.0ms	(cbrt (- (/ (* m (- 1.0 m)) v) 1.0))

simplify132.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 3 (118.0ms)

Iter	Nodes	Cost
0	305	1577
1	939	1498
2	4519	1397
3	5001	1390

prune277.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes53.0ms

Accuracy

0% (0.0b 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

sample711.0ms

Algorithm

intervals

Results

310.0ms	13753×	body	80	valid
178.0ms	13753×	pre	80	true