Details

sample195.0ms

Algorithm

intervals

Results

15.0ms	385×	body	80	valid
7.0ms	385×	pre	80	true

simplify3.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
6	4269
5	937
4	310
3	98
2	38
1	16
0	8

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite180.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
18×	`*-un-lft-identity`
13×	`add-cbrt-cube` `add-exp-log`
10×	`associate-r` `add-cube-cbrt`
9×	`flip3--` `flip--`
8×	`pow1` `associate-l`
6×	`associate-*r/` `add-log-exp`
5×	`sub-neg`
4×	`distribute-rgt-in` `frac-times` `distribute-lft-in` `distribute-lft-out--` `difference-of-squares`
3×	`associate-/r*` `times-frac` `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` `div-inv` `associate-/l*`

Counts

4 → 97

Calls

4 calls:

16.0ms	(* m (- 1.0 m))
29.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
21.0ms	(/ (* m (- 1.0 m)) v)
110.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

series217.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(* m (- 1.0 m))
27.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
59.0ms	(/ (* m (- 1.0 m)) v)
68.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

simplify1.8s

Counts

109 → 109

Iterations

Iter	Nodes
done	5004
2	1562
1	424
0	155

prune549.0ms

Pruning

7 alts after pruning (7 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) 1.0)
0.0b	(/ (* m (- 1.0 m)) v)
0.0b	(/ (* m (- 1.0 m)) v)
0.1b	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- m))

rewrite200.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 90

Calls

4 calls:

31.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
24.0ms	(/ (* m (- 1.0 m)) v)
25.0ms	(/ (* m (- 1.0 m)) v)
116.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- m))

series233.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
47.0ms	(/ (* m (- 1.0 m)) v)
71.0ms	(/ (* m (- 1.0 m)) v)
67.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- m))

simplify1.4s

Counts

102 → 102

Iterations

Iter	Nodes
done	5001
2	1302
1	357
0	132

prune477.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

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

rewrite534.0ms

Algorithm

rewrite-expression-head

Rules

132×	`times-frac`
112×	`add-sqr-sqrt`
96×	`*-un-lft-identity`
68×	`add-cube-cbrt`
24×	`associate-/r*`
18×	`difference-of-squares`
16×	`add-cbrt-cube` `add-exp-log`
14×	`distribute-lft-out--`
10×	`associate-r`
9×	`associate-/r/`
7×	`flip3--` `associate-l` `flip--`
6×	`pow1` `div-inv` `add-log-exp`
5×	`cbrt-undiv` `div-exp`
4×	`associate-/l*`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
2×	`clear-num` `frac-2neg` `associate-l/` `prod-exp` `associate-r/` `cbrt-unprod` `associate-/l/`
1×	`neg-mul-1` `sub-neg` `diff-log` `pow-prod-down` `*-commutative` `distribute-rgt-neg-out` `unswap-sqr`

Counts

4 → 173

Calls

4 calls:

133.0ms	(- (/ m (/ v (- 1.0 m))) 1.0)
15.0ms	(/ (* m (- 1.0 m)) v)
14.0ms	(/ m (/ v (- 1.0 m)))
362.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- m))

series228.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(- (/ m (/ v (- 1.0 m))) 1.0)
56.0ms	(/ (* m (- 1.0 m)) v)
72.0ms	(/ m (/ v (- 1.0 m)))
57.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- m))

simplify2.3s

Counts

185 → 185

Iterations

Iter	Nodes
done	5001
2	2961
1	819
0	309

prune1.3s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* (/ m v) 1.0) (/ (* m m) v))
0.0b	(/ (* m (- 1.0 m)) v)
0.1b	(* (- (- (* (/ m v) 1.0) (/ (* m m) v)) 1.0) (- m))
12.3b	(/ (* m m) v)

rewrite312.0ms

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`
6×	`pow1` `associate-/r*` `times-frac` `add-log-exp`
5×	`associate-l`
4×	`cbrt-undiv` `div-exp` `associate-*l/`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `flip3--` `prod-exp` `cbrt-unprod` `flip--`
2×	`clear-num` `frac-2neg` `associate-r/` `div-inv` `associate-/l` `associate-/l/`
1×	`neg-mul-1` `sub-neg` `diff-log` `pow-prod-down` `*-commutative` `distribute-rgt-neg-out` `frac-sub` `distribute-lft-out--` `sub-div` `difference-of-squares` `unswap-sqr`

Counts

4 → 88

Calls

4 calls:

17.0ms	(- (* (/ m v) 1.0) (/ (* m m) v))
12.0ms	(/ (* m (- 1.0 m)) v)
266.0ms	(* (- (- (* (/ m v) 1.0) (/ (* m m) v)) 1.0) (- m))
14.0ms	(/ (* m m) v)

series182.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(- (* (/ m v) 1.0) (/ (* m m) v))
53.0ms	(/ (* m (- 1.0 m)) v)
54.0ms	(* (- (- (* (/ m v) 1.0) (/ (* m m) v)) 1.0) (- m))
26.0ms	(/ (* m m) v)

simplify1.8s

Counts

100 → 100

Iterations

Iter	Nodes
done	5002
2	1933
1	519
0	170

prune609.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

regimes77.0ms

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	27
3	27
2	26
1	22
0	16

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.1s	13702×	body	80	valid
479.0ms	13702×	pre	80	true