Details

sample334.0ms

Algorithm

intervals

Results

10.0ms	459×	body	80	valid
6.0ms	459×	pre	80	true

simplify128.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	16	5
1	34	5
2	72	5
3	188	5
4	406	5
5	636	5
6	938	5
7	1312	5
8	1969	5
9	2932	5
10	3912	5
11	5001	5
done	5001	5

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize32.0ms

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

rewrite158.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-sqr-sqrt`
43×	`*-un-lft-identity`
39×	`prod-diff`
37×	`add-cube-cbrt`
15×	`times-frac`
13×	`add-exp-log` `add-cbrt-cube`
11×	`distribute-rgt-in` `distribute-lft-in`
8×	`pow1` `associate-r` `associate-l`
7×	`fma-neg`
6×	`add-log-exp`
5×	`div-inv`
4×	`expm1-log1p-u` `flip3--` `associate-*r/` `flip--` `log1p-expm1-u`
3×	`sub-neg` `prod-exp` `associate-/r*` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `associate-/l/` `unswap-sqr`
1×	`frac-2neg` `diff-log` `clear-num` `associate-/l*`

Counts

4 → 139

Calls

4 calls:

27.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
22.0ms	(* m (- 1.0 m))
20.0ms	(/ (* m (- 1.0 m)) v)
83.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series161.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
48.0ms	(* m (- 1.0 m))
38.0ms	(/ (* m (- 1.0 m)) v)
50.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify74.0ms

Counts

151 → 151

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	492	1130
1	2310	788
2	5002	775
done	5002	775

prune226.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite200.0ms

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` `distribute-rgt-in` `expm1-log1p-u` `distribute-lft-in` `div-exp` `log1p-expm1-u` `add-log-exp`
3×	`flip3--` `pow-prod-down` `*-commutative` `flip--` `unswap-sqr`
2×	`sub-neg` `flip3-+` `prod-diff` `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 → 105

Calls

4 calls:

18.0ms	(* v (+ 1.0 m))
28.0ms	(/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m)))
26.0ms	(* m (- (* 1.0 1.0) (* m m)))
125.0ms	(* (- (/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m))) 1.0) m)

series242.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* v (+ 1.0 m))
72.0ms	(/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m)))
70.0ms	(* m (- (* 1.0 1.0) (* m m)))
65.0ms	(* (- (/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m))) 1.0) m)

simplify85.0ms

Counts

117 → 117

Iterations

Useful iterations: 2 (76.0ms)

Iter	Nodes	Cost
0	513	877
1	3136	743
2	5001	742
done	5001	742

prune243.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(* m (- 1.0 m))
0.1b	(* (fma (* m (- 1.0 m)) (/ 1 v) (- 1.0)) m)
0.2b	(fma (* m (- 1.0 m)) (/ 1 v) (- 1.0))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
21×	`*-un-lft-identity`
19×	`add-cube-cbrt`
18×	`prod-diff`
11×	`distribute-rgt-in` `distribute-lft-in`
8×	`associate-r`
7×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`associate-l`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`sub-neg` `associate-r/` `pow-prod-down` `prod-exp` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`flip3--` `flip--` `fma-udef` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 76

Calls

3 calls:

21.0ms	(* m (- 1.0 m))
7.0ms	(* (fma (* m (- 1.0 m)) (/ 1 v) (- 1.0)) m)
0.0ms	(fma (* m (- 1.0 m)) (/ 1 v) (- 1.0))

series135.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(* m (- 1.0 m))
51.0ms	(* (fma (* m (- 1.0 m)) (/ 1 v) (- 1.0)) m)
36.0ms	(fma (* m (- 1.0 m)) (/ 1 v) (- 1.0))

simplify41.0ms

Counts

85 → 85

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	275	646
1	1190	470
2	5001	454
done	5001	454

prune141.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- (* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v))) 1.0) m)
0.3b	(/ m (sqrt v))
0.3b	(/ (- 1.0 m) (sqrt v))
0.4b	(* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v)))

rewrite156.0ms

Algorithm

rewrite-expression-head

Rules

128×	`add-sqr-sqrt`
108×	`times-frac`
96×	`*-un-lft-identity`
70×	`add-cube-cbrt`
60×	`sqrt-prod`
37×	`associate-r`
25×	`associate-l`
22×	`add-exp-log` `add-cbrt-cube`
13×	`distribute-lft-out--` `difference-of-squares`
12×	`associate-/r*`
10×	`unswap-sqr`
8×	`pow1` `associate-/l*`
6×	`cbrt-undiv` `div-exp`
5×	`prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`associate-*l/`
2×	`flip3--` `frac-2neg` `pow-prod-down` `clear-num` `*-commutative` `flip--` `associate-/l/`
1×	`frac-times` `div-sub` `associate-*r/`

Counts

4 → 208

Calls

4 calls:

71.0ms	(* (- (* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v))) 1.0) m)
6.0ms	(/ m (sqrt v))
18.0ms	(/ (- 1.0 m) (sqrt v))
51.0ms	(* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v)))

series185.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(* (- (* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v))) 1.0) m)
46.0ms	(/ m (sqrt v))
41.0ms	(/ (- 1.0 m) (sqrt v))
52.0ms	(* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v)))

simplify88.0ms

Counts

220 → 220

Iterations

Useful iterations: 2 (73.0ms)

Iter	Nodes	Cost
0	816	1741
1	3728	1603
2	5002	1526
done	5002	1526

prune437.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes62.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	9
1	16	9
done	16	9

end0.0ms

sample739.0ms

Algorithm

intervals

Results

289.0ms	13618×	body	80	valid
163.0ms	13618×	pre	80	true