Details

sample79.0ms

Algorithm

intervals

Results

14.0ms	448×	body	80	valid
8.0ms	448×	pre	80	true

simplify3.1s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	13
1	16	13
2	40	13
3	112	13
4	396	13
5	1593	13
done	5000	13

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

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))

rewrite233.0ms

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-exp-log` `add-cbrt-cube`
10×	`associate-r`
8×	`flip3--` `associate-l` `flip--`
7×	`pow1`
6×	`associate-*r/`
4×	`frac-times` `sub-neg`
3×	`expm1-log1p-u` `times-frac` `prod-exp` `associate-/r*` `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` `associate-/l/` `unswap-sqr`
1×	`frac-2neg` `clear-num` `div-inv` `associate-/l*`

Counts

3 → 125

Calls

3 calls:

40.0ms	(* m (- 1.0 m))
43.0ms	(/ (* m (- 1.0 m)) v)
141.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

series207.0ms

Counts

3 → 9

Calls

3 calls:

73.0ms	(* m (- 1.0 m))
60.0ms	(/ (* m (- 1.0 m)) v)
73.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

simplify2.3s

Counts

134 → 134

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	223	2618
1	586	2254
2	3415	1967
done	5001	1910

prune380.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 3 expressions with local error:

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

rewrite308.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 109

Calls

3 calls:

17.0ms	(+ (* m 1.0) (* m (- m)))
53.0ms	(/ (+ (* m 1.0) (* m (- m))) v)
230.0ms	(* (- (/ (+ (* m 1.0) (* m (- m))) v) 1.0) (- 1.0 m))

series165.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(+ (* m 1.0) (* m (- m)))
53.0ms	(/ (+ (* m 1.0) (* m (- m))) v)
50.0ms	(* (- (/ (+ (* m 1.0) (* m (- m))) v) 1.0) (- 1.0 m))

simplify2.3s

Counts

118 → 118

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	219	2726
1	568	2202
2	3176	1873
done	5000	1847

prune295.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite200.0ms

Algorithm

rewrite-expression-head

Rules

46×	`associate-+l+`
42×	`add-sqr-sqrt` `prod-diff`
40×	`*-un-lft-identity`
38×	`add-cube-cbrt`
24×	`times-frac`
23×	`distribute-rgt-in` `distribute-lft-in`
16×	`add-exp-log` `add-cbrt-cube`
10×	`associate-r` `associate-*l/`
8×	`div-inv`
7×	`flip3--` `flip--`
6×	`pow1` `associate-/r*` `add-log-exp`
5×	`associate-l`
4×	`cbrt-undiv` `expm1-log1p-u` `associate-*r/` `div-exp` `frac-add` `log1p-expm1-u` `associate-/l/`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `prod-exp` `distribute-rgt-neg-out` `cbrt-unprod`
2×	`sub-neg` `frac-2neg` `clear-num` `associate-/l*`
1×	`+-commutative` `neg-mul-1` `fma-def` `flip3-+` `unsub-neg` `pow-prod-down` `sum-log` `*-commutative` `flip-+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 148

Calls

4 calls:

53.0ms	(+ (* 1.0 (- (/ (* (- 1.0 m) m) v) 1.0)) (* (- (/ (* (- 1.0 m) m) v) 1.0) (- m)))
20.0ms	(/ (* (- 1.0 m) m) v)
18.0ms	(/ (* (- 1.0 m) m) v)
94.0ms	(* (- (/ (* (- 1.0 m) m) v) 1.0) (- m))

series267.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(+ (* 1.0 (- (/ (* (- 1.0 m) m) v) 1.0)) (* (- (/ (* (- 1.0 m) m) v) 1.0) (- m)))
65.0ms	(/ (* (- 1.0 m) m) v)
70.0ms	(/ (* (- 1.0 m) m) v)
78.0ms	(* (- (/ (* (- 1.0 m) m) v) 1.0) (- m))

simplify2.1s

Counts

160 → 160

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	199	3329
1	619	2996
2	3449	2653
done	5000	2628

prune596.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

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

rewrite452.0ms

Algorithm

rewrite-expression-head

Rules

47×	`times-frac`
39×	`add-sqr-sqrt`
37×	`add-exp-log`
34×	`*-un-lft-identity`
30×	`add-cube-cbrt`
25×	`add-cbrt-cube`
16×	`div-exp`
14×	`associate-*l/`
13×	`associate-/r*`
11×	`associate-/r/`
10×	`associate-r`
9×	`cbrt-undiv`
8×	`associate-l` `div-inv`
7×	`pow1` `flip3--` `flip--` `associate-/l*`
6×	`prod-exp`
4×	`expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`distribute-lft-neg-in` `rec-exp` `distribute-rgt-neg-in` `frac-2neg` `1-exp` `clear-num` `difference-of-squares`
2×	`associate-/l/` `distribute-lft-out--`
1×	`neg-mul-1` `pow-flip` `pow-prod-down` `*-commutative` `distribute-rgt-neg-out` `inv-pow` `unswap-sqr`

Counts

4 → 151

Calls

4 calls:

31.0ms	(/ (* (- 1.0 m) m) v)
13.0ms	(/ v (* (- 1.0 m) m))
367.0ms	(* (- (/ 1 (/ v (* (- 1.0 m) m))) 1.0) (- m))
27.0ms	(/ 1 (/ v (* (- 1.0 m) m)))

series290.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(/ (* (- 1.0 m) m) v)
64.0ms	(/ v (* (- 1.0 m) m))
85.0ms	(* (- (/ 1 (/ v (* (- 1.0 m) m))) 1.0) (- m))
67.0ms	(/ 1 (/ v (* (- 1.0 m) m)))

simplify2.9s

Counts

163 → 163

Iterations

Useful iterations: done (2.9s)

Iter	Nodes	Cost
0	253	2310
1	665	2101
2	3759	1903
done	5001	1901

prune478.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes39.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	16
1	17	16
done	17	16

end0.0ms

sample1.9s

Algorithm

intervals

Results

951.0ms	13697×	body	80	valid
381.0ms	13697×	pre	80	true