Details

sample168.0ms

Algorithm

intervals

Results

64.0ms	438×	body	80	valid
13.0ms	438×	pre	80	true

simplify3.1s

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	8	13
1	16	13
2	40	13
3	112	13
4	395	13
5	1604	13
done	5000	13

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite201.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 125

Calls

3 calls:

36.0ms	(* m (- 1.0 m))
21.0ms	(/ (* m (- 1.0 m)) v)
134.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

series218.0ms

Counts

3 → 9

Calls

3 calls:

82.0ms	(* m (- 1.0 m))
57.0ms	(/ (* m (- 1.0 m)) v)
79.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

simplify1.9s

Counts

134 → 134

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	223	2618
1	587	2253
2	3411	1965
done	5002	1904

prune444.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite373.0ms

Algorithm

rewrite-expression-head

Rules

125×	`sqrt-prod`
108×	`prod-diff`
103×	`add-sqr-sqrt`
97×	`*-un-lft-identity`
83×	`add-cube-cbrt`
39×	`distribute-rgt-in` `distribute-lft-in`
32×	`frac-times`
23×	`flip3--` `flip--`
16×	`add-cbrt-cube` `associate-*l/` `add-exp-log`
14×	`associate-r`
12×	`flip3-+` `associate-*r/` `flip-+`
11×	`pow1`
9×	`difference-of-squares`
6×	`fma-neg` `associate-l` `add-log-exp`
5×	`prod-exp` `cbrt-unprod` `distribute-lft-out--`
4×	`expm1-log1p-u` `pow-prod-down` `log1p-expm1-u`
3×	`associate-/r*` `sub-neg` `times-frac`
2×	`cbrt-undiv` `div-exp` `*-commutative` `distribute-lft-out` `associate-/l/`
1×	`clear-num` `frac-2neg` `diff-log` `div-inv` `associate-/l*` `unswap-sqr`

Counts

4 → 249

Calls

4 calls:

21.0ms	(- (sqrt 1.0) (sqrt m))
31.0ms	(/ (* m (- 1.0 m)) v)
122.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m)))
174.0ms	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))

series542.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(- (sqrt 1.0) (sqrt m))
52.0ms	(/ (* m (- 1.0 m)) v)
177.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m)))
238.0ms	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))

simplify719.0ms

Counts

261 → 261

Iterations

Useful iterations: done (702.0ms)

Iter	Nodes	Cost
0	381	9465
1	1294	7821
done	5000	7142

prune1.0s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite421.0ms

Algorithm

rewrite-expression-head

Rules

103×	`*-un-lft-identity`
57×	`add-sqr-sqrt`
53×	`times-frac`
36×	`associate-r`
31×	`add-cube-cbrt`
25×	`add-cbrt-cube` `add-exp-log`
24×	`sqrt-prod` `distribute-lft-out`
20×	`frac-times`
14×	`associate-*l/`
12×	`distribute-lft-out--` `difference-of-squares`
11×	`pow1` `flip3-+` `flip3--` `flip-+` `flip--`
9×	`associate-*r/`
8×	`associate-/r*` `prod-exp` `cbrt-unprod`
6×	`associate-l` `associate-/l*`
5×	`cbrt-undiv` `div-exp`
4×	`expm1-log1p-u` `pow-prod-down` `associate-/r/` `log1p-expm1-u` `add-log-exp` `associate-/l/`
3×	`div-inv`
2×	`clear-num` `frac-2neg` `*-commutative`
1×	`distribute-rgt-in` `distribute-lft-in` `div-sub` `unswap-sqr`

Counts

4 → 182

Calls

4 calls:

33.0ms	(/ (* m (- 1.0 m)) v)
120.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m)))
203.0ms	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m))) (/ (- 1.0 m) (+ (sqrt 1.0) (sqrt m))))
52.0ms	(/ (- 1.0 m) (+ (sqrt 1.0) (sqrt m)))

series533.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(/ (* m (- 1.0 m)) v)
190.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m)))
52.0ms	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m))) (/ (- 1.0 m) (+ (sqrt 1.0) (sqrt m))))
235.0ms	(/ (- 1.0 m) (+ (sqrt 1.0) (sqrt m)))

simplify687.0ms

Counts

194 → 194

Iterations

Useful iterations: done (677.0ms)

Iter	Nodes	Cost
0	319	4605
1	1140	4303
done	5000	3915

prune958.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize60.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (fma 1.0 1.0 (* m (+ m 1.0))) (+ (sqrt 1.0) (sqrt m)))
0.1b	(* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m)))
0.1b	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m))) (/ (- (pow 1.0 3) (pow m 3)) (* (fma 1.0 1.0 (* m (+ m 1.0))) (+ (sqrt 1.0) (sqrt m)))))
0.1b	(/ (- (pow 1.0 3) (pow m 3)) (* (fma 1.0 1.0 (* m (+ m 1.0))) (+ (sqrt 1.0) (sqrt m))))

rewrite577.0ms

Algorithm

rewrite-expression-head

Rules

90×	`add-sqr-sqrt`
52×	`*-un-lft-identity`
50×	`times-frac`
49×	`difference-of-squares`
41×	`associate-r`
36×	`unpow-prod-down` `cube-prod`
34×	`add-cbrt-cube` `add-exp-log`
25×	`associate-/l*`
24×	`sqr-pow`
20×	`frac-times`
16×	`distribute-lft-out--`
14×	`associate-*l/` `prod-exp` `cbrt-unprod`
13×	`pow1` `associate-*r/`
12×	`flip3-+` `add-cube-cbrt` `flip-+`
10×	`flip3--` `flip--`
9×	`associate-l`
6×	`cbrt-undiv` `div-exp`
5×	`pow-prod-down`
4×	`expm1-log1p-u` `associate-/r/` `sqrt-prod` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`
3×	`difference-cubes` `*-commutative`
2×	`distribute-rgt-in` `distribute-lft-in` `div-inv` `unswap-sqr` `associate-/l/`
1×	`clear-num` `associate-/r*` `frac-2neg` `div-sub`

Counts

4 → 205

Calls

4 calls:

41.0ms	(* (fma 1.0 1.0 (* m (+ m 1.0))) (+ (sqrt 1.0) (sqrt m)))
148.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m)))
285.0ms	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m))) (/ (- (pow 1.0 3) (pow m 3)) (* (fma 1.0 1.0 (* m (+ m 1.0))) (+ (sqrt 1.0) (sqrt m)))))
89.0ms	(/ (- (pow 1.0 3) (pow m 3)) (* (fma 1.0 1.0 (* m (+ m 1.0))) (+ (sqrt 1.0) (sqrt m))))

series878.0ms

Counts

4 → 12

Calls

4 calls:

143.0ms	(* (fma 1.0 1.0 (* m (+ m 1.0))) (+ (sqrt 1.0) (sqrt m)))
177.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m)))
127.0ms	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m))) (/ (- (pow 1.0 3) (pow m 3)) (* (fma 1.0 1.0 (* m (+ m 1.0))) (+ (sqrt 1.0) (sqrt m)))))
430.0ms	(/ (- (pow 1.0 3) (pow m 3)) (* (fma 1.0 1.0 (* m (+ m 1.0))) (+ (sqrt 1.0) (sqrt m))))

simplify766.0ms

Counts

217 → 217

Iterations

Useful iterations: done (753.0ms)

Iter	Nodes	Cost
0	384	7399
1	1280	7072
done	5001	6249

prune1.6s

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes186.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	10	13
done	10	13

end0.0ms

sample2.0s

Algorithm

intervals

Results

801.0ms	13678×	pre	80	true
766.0ms	13678×	body	80	valid