Details

sample298.0ms

Algorithm

intervals

Results

29.0ms	432×	body	80	valid
11.0ms	432×	pre	80	true

simplify118.0ms

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: 0.2b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 85

Calls

4 calls:

10.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
9.0ms	(* m (- 1.0 m))
7.0ms	(/ (* m (- 1.0 m)) v)
45.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series160.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
47.0ms	(* m (- 1.0 m))
42.0ms	(/ (* m (- 1.0 m)) v)
44.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify49.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	334	532
1	1558	477
2	5002	465

prune175.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 95

Calls

4 calls:

9.0ms	(* v (+ 1.0 m))
10.0ms	(* m (- (* 1.0 1.0) (* m m)))
10.0ms	(/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m)))
56.0ms	(* (- (/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m))) 1.0) m)

series249.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(* v (+ 1.0 m))
75.0ms	(* m (- (* 1.0 1.0) (* m m)))
75.0ms	(/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m)))
65.0ms	(* (- (/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m))) 1.0) m)

simplify84.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	485	814
1	2982	680
2	5002	680

prune220.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 4 expressions with local error:

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

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 108

Calls

4 calls:

6.0ms	(- (* m (/ (- 1.0 m) v)) 1.0)
7.0ms	(/ (- 1.0 m) v)
23.0ms	(* (- (* m (/ (- 1.0 m) v)) 1.0) m)
14.0ms	(* m (/ (- 1.0 m) v))

series136.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(- (* m (/ (- 1.0 m) v)) 1.0)
36.0ms	(/ (- 1.0 m) v)
36.0ms	(* (- (* m (/ (- 1.0 m) v)) 1.0) m)
40.0ms	(* m (/ (- 1.0 m) v))

simplify52.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	392	684
1	1724	626
2	5001	614

prune230.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- 1.0 m) v)
0.2b	(* (- (* (sqrt m) (* (sqrt m) (/ (- 1.0 m) v))) 1.0) m)
0.3b	(* (sqrt m) (* (sqrt m) (/ (- 1.0 m) v)))
0.4b	(* (sqrt m) (/ (- 1.0 m) v))

rewrite123.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 125

Calls

4 calls:

7.0ms	(/ (- 1.0 m) v)
75.0ms	(* (- (* (sqrt m) (* (sqrt m) (/ (- 1.0 m) v))) 1.0) m)
19.0ms	(* (sqrt m) (* (sqrt m) (/ (- 1.0 m) v)))
17.0ms	(* (sqrt m) (/ (- 1.0 m) v))

series240.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(/ (- 1.0 m) v)
55.0ms	(* (- (* (sqrt m) (* (sqrt m) (/ (- 1.0 m) v))) 1.0) m)
64.0ms	(* (sqrt m) (* (sqrt m) (/ (- 1.0 m) v)))
82.0ms	(* (sqrt m) (/ (- 1.0 m) v))

simplify66.0ms

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	501	935
1	2292	796
2	5001	793

prune284.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

regimes103.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	9
1	16	9

end0.0ms

sample1.4s

Algorithm

intervals

Results

872.0ms	13750×	body	80	valid
309.0ms	13750×	pre	80	true