Details

sample155.0ms

Algorithm

intervals

Results

16.0ms	433×	body	80	valid
8.0ms	433×	pre	80	true

simplify3.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
7	4477
6	1331
5	417
4	171
3	67
2	34
1	16
0	8

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize30.0ms

Local error

Found 3 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) m)

rewrite167.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 71

Calls

3 calls:

20.0ms	(* m (- 1.0 m))
25.0ms	(/ (* m (- 1.0 m)) v)
119.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series221.0ms

Counts

3 → 9

Calls

3 calls:

73.0ms	(* m (- 1.0 m))
71.0ms	(/ (* m (- 1.0 m)) v)
76.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify1.0s

Counts

80 → 80

Iterations

Iter	Nodes
done	5000
2	1694
1	338
0	126

prune384.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

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

rewrite243.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
18×	`add-cbrt-cube` `add-exp-log`
17×	`*-un-lft-identity`
15×	`associate-r`
13×	`pow1` `add-cube-cbrt`
11×	`associate-l`
10×	`associate-*l/`
7×	`sqrt-prod`
6×	`prod-exp` `cbrt-unprod`
5×	`pow-prod-down`
4×	`flip3--` `flip--` `add-log-exp`
3×	`associate-/r` `times-frac` `-commutative` `unswap-sqr`
2×	`cbrt-undiv` `div-exp` `distribute-lft-out--` `difference-of-squares` `associate-/l/`
1×	`clear-num` `frac-2neg` `div-inv` `associate-/l*`

Counts

4 → 94

Calls

4 calls:

33.0ms	(* (- 1.0 m) m)
25.0ms	(/ (* (- 1.0 m) m) v)
82.0ms	(* (- (/ (* (- 1.0 m) m) v) 1.0) (sqrt m))
98.0ms	(* (* (- (/ (* (- 1.0 m) m) v) 1.0) (sqrt m)) (sqrt m))

series326.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(* (- 1.0 m) m)
62.0ms	(/ (* (- 1.0 m) m) v)
108.0ms	(* (- (/ (* (- 1.0 m) m) v) 1.0) (sqrt m))
86.0ms	(* (* (- (/ (* (- 1.0 m) m) v) 1.0) (sqrt m)) (sqrt m))

simplify1.2s

Counts

106 → 106

Iterations

Iter	Nodes
done	5000
2	2640
1	456
0	164

prune565.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.1b	(* (- 1.0 m) (/ m v))
0.2b	(* (- (* (- 1.0 m) (/ m v)) 1.0) (sqrt m))
0.4b	(* (* (- (* (- 1.0 m) (/ m v)) 1.0) (sqrt m)) (sqrt m))

rewrite248.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
25×	`associate-r`
18×	`*-un-lft-identity`
16×	`add-cube-cbrt`
15×	`add-cbrt-cube` `add-exp-log`
12×	`pow1`
10×	`times-frac`
9×	`associate-l`
8×	`associate-*l/`
7×	`sqrt-prod`
6×	`prod-exp` `cbrt-unprod`
5×	`pow-prod-down`
4×	`flip3--` `flip--` `unswap-sqr`
3×	`*-commutative` `add-log-exp`
2×	`frac-times`
1×	`cbrt-undiv` `div-exp` `associate-*r/` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 85

Calls

3 calls:

23.0ms	(* (- 1.0 m) (/ m v))
72.0ms	(* (- (* (- 1.0 m) (/ m v)) 1.0) (sqrt m))
150.0ms	(* (* (- (* (- 1.0 m) (/ m v)) 1.0) (sqrt m)) (sqrt m))

series246.0ms

Counts

3 → 9

Calls

3 calls:

66.0ms	(* (- 1.0 m) (/ m v))
114.0ms	(* (- (* (- 1.0 m) (/ m v)) 1.0) (sqrt m))
65.0ms	(* (* (- (* (- 1.0 m) (/ m v)) 1.0) (sqrt m)) (sqrt m))

simplify1.4s

Counts

94 → 94

Iterations

Iter	Nodes
done	5000
2	2838
1	476
0	168

prune456.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

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

rewrite360.0ms

Algorithm

rewrite-expression-head

Rules

41×	`sqrt-prod`
32×	`pow1`
31×	`add-sqr-sqrt`
20×	`add-cbrt-cube` `add-exp-log`
16×	`sqrt-pow1` `associate-r`
15×	`*-un-lft-identity` `add-cube-cbrt`
13×	`associate-l`
12×	`pow-prod-down`
10×	`pow1/2` `prod-exp` `cbrt-unprod`
6×	`associate-*l/` `pow-prod-up` `unswap-sqr`
4×	`add-log-exp`
3×	`*-commutative`
2×	`rem-sqrt-square` `pow-plus` `flip3--` `cube-unmult` `flip--`
1×	`sqrt-unprod`

Counts

4 → 113

Calls

4 calls:

3.0ms	(sqrt (sqrt m))
105.0ms	(* (- (* (- 1.0 m) (/ m v)) 1.0) (* (sqrt (sqrt m)) (sqrt m)))
223.0ms	(* (* (- (* (- 1.0 m) (/ m v)) 1.0) (* (sqrt (sqrt m)) (sqrt m))) (sqrt (sqrt m)))
22.0ms	(* (sqrt (sqrt m)) (sqrt m))

series679.0ms

Counts

4 → 12

Calls

4 calls:

201.0ms	(sqrt (sqrt m))
142.0ms	(* (- (* (- 1.0 m) (/ m v)) 1.0) (* (sqrt (sqrt m)) (sqrt m)))
74.0ms	(* (* (- (* (- 1.0 m) (/ m v)) 1.0) (* (sqrt (sqrt m)) (sqrt m))) (sqrt (sqrt m)))
261.0ms	(* (sqrt (sqrt m)) (sqrt m))

simplify1.6s

Counts

125 → 125

Iterations

Iter	Nodes
done	5000
2	2642
1	514
0	181

prune496.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes181.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	10
1	10
0	8

end0.0ms

sample1.9s

Algorithm

intervals

Results

894.0ms	13647×	pre	80	true
570.0ms	13647×	body	80	valid