Details

sample144.0ms

Algorithm

intervals

Results

15.0ms	412×	body	80	valid
8.0ms	412×	pre	80	true

simplify3.0s

Counts

1 → 1

Iterations

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

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

rewrite215.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 169

Calls

4 calls:

42.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
30.0ms	(* m (- 1.0 m))
96.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
34.0ms	(/ (* m (- 1.0 m)) v)

series206.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
53.0ms	(* m (- 1.0 m))
50.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
60.0ms	(/ (* m (- 1.0 m)) v)

simplify2.4s

Counts

181 → 181

Iterations

Iter	Nodes
done	5000
2	3824
1	679
0	265

prune711.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize52.0ms

Local error

Found 4 expressions with local error:

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

rewrite221.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 103

Calls

4 calls:

60.0ms	(+ (* (- (/ (* m (- 1.0 m)) v) 1.0) 1.0) (* (- (/ (* m (- 1.0 m)) v) 1.0) (- m)))
16.0ms	(/ (* m (- 1.0 m)) v)
31.0ms	(/ (* m (- 1.0 m)) v)
108.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- m))

series237.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(+ (* (- (/ (* m (- 1.0 m)) v) 1.0) 1.0) (* (- (/ (* m (- 1.0 m)) v) 1.0) (- m)))
61.0ms	(/ (* m (- 1.0 m)) v)
50.0ms	(/ (* m (- 1.0 m)) v)
50.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- m))

simplify2.3s

Counts

115 → 115

Iterations

Iter	Nodes
done	5002
2	2921
1	556
0	174

prune721.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize53.0ms

Local error

Found 4 expressions with local error:

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

rewrite360.0ms

Algorithm

rewrite-expression-head

Rules

113×	`times-frac`
67×	`add-sqr-sqrt`
61×	`sqrt-prod`
59×	`*-un-lft-identity`
57×	`add-cube-cbrt`
25×	`add-cbrt-cube` `add-exp-log`
15×	`associate-/r*`
12×	`associate-/l*`
10×	`associate-r` `div-inv`
9×	`cbrt-undiv` `div-exp`
7×	`associate-l`
6×	`pow1`
5×	`associate-/l/`
4×	`expm1-log1p-u` `prod-exp` `associate-*r/` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`distribute-lft-neg-in` `clear-num` `distribute-rgt-neg-in` `frac-2neg` `flip3--` `flip--` `difference-of-squares`
2×	`associate-*l/`
1×	`neg-mul-1` `pow-prod-down` `*-commutative` `distribute-rgt-neg-out` `distribute-lft-out--` `unswap-sqr`

Counts

4 → 185

Calls

4 calls:

17.0ms	(/ (* m (- 1.0 m)) v)
280.0ms	(* (- (/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v)) 1.0) (- m))
32.0ms	(/ (* m (- 1.0 m)) (sqrt v))
16.0ms	(/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v))

series274.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(/ (* m (- 1.0 m)) v)
55.0ms	(* (- (/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v)) 1.0) (- m))
88.0ms	(/ (* m (- 1.0 m)) (sqrt v))
59.0ms	(/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v))

simplify2.1s

Counts

197 → 197

Iterations

Iter	Nodes
done	5001
2	4284
1	813
0	294

prune1.2s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize77.0ms

Local error

Found 4 expressions with local error:

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

rewrite352.0ms

Algorithm

rewrite-expression-head

Rules

55×	`times-frac`
43×	`add-sqr-sqrt`
41×	`add-cbrt-cube` `add-exp-log`
35×	`*-un-lft-identity`
33×	`add-cube-cbrt`
25×	`sqrt-prod`
20×	`associate-*r/`
16×	`associate-/r/`
15×	`cbrt-undiv` `div-exp`
10×	`associate-/r` `associate-r*` `prod-exp` `cbrt-unprod` `div-inv`
9×	`associate-/l*`
8×	`flip3-+` `flip-+`
7×	`associate-l`
6×	`pow1`
5×	`associate-/l/`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`distribute-lft-neg-in` `clear-num` `distribute-rgt-neg-in` `frac-2neg` `flip3--` `flip--` `difference-of-squares`
2×	`associate-*l/`
1×	`neg-mul-1` `pow-prod-down` `*-commutative` `distribute-rgt-neg-out` `distribute-lft-out--` `unswap-sqr`

Counts

4 → 164

Calls

4 calls:

19.0ms	(/ (* m (- 1.0 m)) v)
259.0ms	(* (- (/ (/ (* m (- (* 1.0 1.0) (* m m))) (* (sqrt v) (+ 1.0 m))) (sqrt v)) 1.0) (- m))
24.0ms	(/ (* m (- (* 1.0 1.0) (* m m))) (* (sqrt v) (+ 1.0 m)))
40.0ms	(/ (/ (* m (- (* 1.0 1.0) (* m m))) (* (sqrt v) (+ 1.0 m))) (sqrt v))

series394.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(/ (* m (- 1.0 m)) v)
103.0ms	(* (- (/ (/ (* m (- (* 1.0 1.0) (* m m))) (* (sqrt v) (+ 1.0 m))) (sqrt v)) 1.0) (- m))
129.0ms	(/ (* m (- (* 1.0 1.0) (* m m))) (* (sqrt v) (+ 1.0 m)))
115.0ms	(/ (/ (* m (- (* 1.0 1.0) (* m m))) (* (sqrt v) (+ 1.0 m))) (sqrt v))

simplify1.2s

Counts

176 → 176

Iterations

Iter	Nodes
done	5000
1	989
0	323

prune1.2s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes104.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	26
3	26
2	25
1	21
0	15

end0.0ms

sample1.5s

Algorithm

intervals

Results

830.0ms	13758×	body	80	valid
313.0ms	13758×	pre	80	true