Details

sample176.0ms

Algorithm

intervals

Results

25.0ms	426×	body	80	valid
12.0ms	426×	pre	80	true

simplify18.7s

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	8	11
1	21	11
2	88	11
3	362	11
4	868	11
5	2590	11
6	4792	11
done	5000	11

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize22.0ms

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)

rewrite224.0ms

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:

42.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
24.0ms	(* m (- 1.0 m))
31.0ms	(/ (* m (- 1.0 m)) v)
120.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series232.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
67.0ms	(* m (- 1.0 m))
66.0ms	(/ (* m (- 1.0 m)) v)
66.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify993.0ms

Counts

151 → 151

Iterations

Useful iterations: done (986.0ms)

Iter	Nodes	Cost
0	223	2378
done	5000	1801

prune415.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- 1.0 m) v)
0.0b	(- (* m (/ (- 1.0 m) v)) 1.0)
0.1b	(* (- (* m (/ (- 1.0 m) v)) 1.0) m)
0.3b	(* m (/ (- 1.0 m) v))

rewrite170.0ms

Algorithm

rewrite-expression-head

Rules

48×	`add-sqr-sqrt`
41×	`*-un-lft-identity`
31×	`times-frac`
27×	`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*`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`flip3--` `prod-diff` `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` `fma-neg` `diff-log` `div-sub` `associate-*r/` `clear-num`

Counts

4 → 120

Calls

4 calls:

18.0ms	(/ (- 1.0 m) v)
16.0ms	(- (* m (/ (- 1.0 m) v)) 1.0)
73.0ms	(* (- (* m (/ (- 1.0 m) v)) 1.0) m)
57.0ms	(* m (/ (- 1.0 m) v))

series240.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(/ (- 1.0 m) v)
43.0ms	(- (* m (/ (- 1.0 m) v)) 1.0)
53.0ms	(* (- (* m (/ (- 1.0 m) v)) 1.0) m)
75.0ms	(* m (/ (- 1.0 m) v))

simplify3.0s

Counts

132 → 132

Iterations

Useful iterations: done (3.0s)

Iter	Nodes	Cost
0	184	1575
1	4310	1453
done	5000	1450

prune437.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite223.0ms

Algorithm

rewrite-expression-head

Rules

62×	`*-un-lft-identity`
56×	`add-sqr-sqrt`
48×	`times-frac`
40×	`add-cube-cbrt`
30×	`sqrt-prod`
12×	`associate-/r*`
10×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/l*`
7×	`distribute-lft-out--` `difference-of-squares`
6×	`pow1` `associate-l`
5×	`distribute-lft-out`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`associate-r`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `associate-*l/` `clear-num` `div-inv` `associate-/l/`
1×	`flip3--` `distribute-rgt-neg-in` `flip3-+` `div-sub` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `fma-udef` `unswap-sqr`

Counts

4 → 134

Calls

4 calls:

165.0ms	(* (+ (fma (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v)) (- 1.0)) (+ (- 1.0) 1.0)) m)
1.0ms	(fma (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v)) (- 1.0))
12.0ms	(/ m (sqrt v))
37.0ms	(/ (- 1.0 m) (sqrt v))

series365.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(* (+ (fma (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v)) (- 1.0)) (+ (- 1.0) 1.0)) m)
101.0ms	(fma (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v)) (- 1.0))
89.0ms	(/ m (sqrt v))
79.0ms	(/ (- 1.0 m) (sqrt v))

simplify2.9s

Counts

146 → 146

Iterations

Useful iterations: done (2.9s)

Iter	Nodes	Cost
0	249	2133
1	2203	1809
done	5001	1719

prune534.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite333.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 124

Calls

4 calls:

32.0ms	(* m (- 1.0 m))
22.0ms	(/ (* m (- 1.0 m)) v)
121.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m))
150.0ms	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m)) (sqrt m))

series347.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(* m (- 1.0 m))
78.0ms	(/ (* m (- 1.0 m)) v)
106.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m))
91.0ms	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m)) (sqrt m))

simplify834.0ms

Counts

136 → 136

Iterations

Useful iterations: done (830.0ms)

Iter	Nodes	Cost
0	222	2083
done	5000	1697

prune426.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes69.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	10	11
done	10	11

end0.0ms

sample1.8s

Algorithm

intervals

Results

741.0ms	13899×	body	80	valid
512.0ms	13899×	pre	80	true