Details

sample278.0ms

Algorithm

intervals

Results

11.0ms	450×	body	80	valid
7.0ms	450×	pre	80	true

simplify115.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite30.0ms

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)
13.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series136.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(* m (- 1.0 m))
37.0ms	(/ (* m (- 1.0 m)) v)
53.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify46.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (40.0ms)

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

prune148.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite27.0ms

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×	`prod-exp` `associate-/r*` `cbrt-unprod` `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 → 96

Calls

3 calls:

6.0ms	(/ (- 1.0 m) v)
9.0ms	(* (- (* m (/ (- 1.0 m) v)) 1.0) m)
9.0ms	(* m (/ (- 1.0 m) v))

series104.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(/ (- 1.0 m) v)
37.0ms	(* (- (* m (/ (- 1.0 m) v)) 1.0) m)
36.0ms	(* m (/ (- 1.0 m) v))

simplify50.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	370	577
1	1676	528
2	5001	522

prune191.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 101

Calls

4 calls:

6.0ms	(* v (+ 1.0 m))
9.0ms	(/ (- (* 1.0 1.0) (* m m)) (* v (+ 1.0 m)))
12.0ms	(* (- (* m (/ (- (* 1.0 1.0) (* m m)) (* v (+ 1.0 m)))) 1.0) m)
15.0ms	(* m (/ (- (* 1.0 1.0) (* m m)) (* v (+ 1.0 m))))

series216.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(* v (+ 1.0 m))
56.0ms	(/ (- (* 1.0 1.0) (* m m)) (* v (+ 1.0 m)))
59.0ms	(* (- (* m (/ (- (* 1.0 1.0) (* m m)) (* v (+ 1.0 m)))) 1.0) m)
71.0ms	(* m (/ (- (* 1.0 1.0) (* m m)) (* v (+ 1.0 m))))

simplify77.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (67.0ms)

Iter	Nodes	Cost
0	488	916
1	2807	783
2	5001	781

prune231.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 172

Calls

4 calls:

6.0ms	(* m (- 1.0 m))
30.0ms	(* (- (/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v)) 1.0) m)
8.0ms	(/ (* m (- 1.0 m)) (sqrt v))
11.0ms	(/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v))

series191.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(* m (- 1.0 m))
45.0ms	(* (- (/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v)) 1.0) m)
52.0ms	(/ (* m (- 1.0 m)) (sqrt v))
50.0ms	(/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v))

simplify86.0ms

Algorithm

egg-herbie

Counts

184 → 184

Iterations

Useful iterations: 2 (68.0ms)

Iter	Nodes	Cost
0	682	1603
1	3195	1370
2	5002	1360

prune313.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

regimes48.0ms

Accuracy

0% (0.1b 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	13	6
1	15	6
2	15	6

end0.0ms

sample745.0ms

Algorithm

intervals

Results

325.0ms	13811×	body	80	valid
187.0ms	13811×	pre	80	true