Details

sample247.0ms

Algorithm

intervals

Results

28.0ms	385×	body	80	valid
14.0ms	385×	pre	80	true

simplify3.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5016
10	4809
9	2125
8	1197
7	833
6	511
5	320
4	149
3	60
2	32
1	16
0	8

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize32.0ms

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

rewrite166.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
13×	`add-cbrt-cube` `add-exp-log`
10×	`add-cube-cbrt`
8×	`pow1` `associate-r` `associate-l`
6×	`add-log-exp`
4×	`flip3--` `associate-*r/` `flip--`
3×	`associate-/r*` `sub-neg` `times-frac` `prod-exp` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares`
2×	`distribute-rgt-in` `cbrt-undiv` `distribute-lft-in` `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 → 85

Calls

4 calls:

17.0ms	(* m (- 1.0 m))
24.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
27.0ms	(/ (* m (- 1.0 m)) v)
94.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series232.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(* m (- 1.0 m))
44.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
49.0ms	(/ (* m (- 1.0 m)) v)
69.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify1.4s

Counts

97 → 97

Iterations

Iter	Nodes
done	5000
2	1116
1	359
0	138

prune516.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

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

rewrite244.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
19×	`*-un-lft-identity`
15×	`add-cube-cbrt`
14×	`times-frac`
8×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
7×	`distribute-lft-out--`
6×	`pow1` `associate-l`
4×	`flip3--` `flip--` `associate-/l*` `difference-of-squares`
3×	`associate-/r` `associate-r*`
2×	`sub-neg` `diff-log` `div-sub` `associate-*l/` `associate-/l/`
1×	`associate--l-` `cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

4 → 86

Calls

4 calls:

8.0ms	(- (* m 1.0) (* m m))
58.0ms	(- (/ (- (* m 1.0) (* m m)) v) 1.0)
26.0ms	(/ (- (* m 1.0) (* m m)) v)
147.0ms	(* (- (/ (- (* m 1.0) (* m m)) v) 1.0) m)

series261.0ms

Counts

4 → 12

Calls

4 calls:

107.0ms	(- (* m 1.0) (* m m))
27.0ms	(- (/ (- (* m 1.0) (* m m)) v) 1.0)
63.0ms	(/ (- (* m 1.0) (* m m)) v)
64.0ms	(* (- (/ (- (* m 1.0) (* m m)) v) 1.0) m)

simplify1.2s

Counts

98 → 98

Iterations

Iter	Nodes
done	5005
2	1369
1	389
0	147

prune523.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- (* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v))) 1.0) m)
0.2b	(/ (- 1.0 m) (sqrt v))
0.3b	(/ m (sqrt v))
0.3b	(* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v)))

rewrite169.0ms

Algorithm

rewrite-expression-head

Rules

128×	`add-sqr-sqrt`
108×	`times-frac`
96×	`*-un-lft-identity`
70×	`add-cube-cbrt`
60×	`sqrt-prod`
37×	`associate-r`
25×	`associate-l`
22×	`add-cbrt-cube` `add-exp-log`
13×	`distribute-lft-out--` `difference-of-squares`
12×	`associate-/r*`
10×	`unswap-sqr`
8×	`pow1` `associate-/l*`
6×	`cbrt-undiv` `div-exp`
5×	`prod-exp` `cbrt-unprod`
4×	`div-inv` `add-log-exp`
3×	`associate-*l/`
2×	`clear-num` `frac-2neg` `flip3--` `pow-prod-down` `*-commutative` `flip--` `associate-/l/`
1×	`frac-times` `div-sub` `associate-*r/`

Counts

4 → 200

Calls

4 calls:

80.0ms	(* (- (* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v))) 1.0) m)
14.0ms	(/ (- 1.0 m) (sqrt v))
7.0ms	(/ m (sqrt v))
58.0ms	(* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v)))

series242.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(* (- (* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v))) 1.0) m)
57.0ms	(/ (- 1.0 m) (sqrt v))
61.0ms	(/ m (sqrt v))
56.0ms	(* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v)))

simplify2.3s

Counts

212 → 212

Iterations

Iter	Nodes
done	5002
2	2864
1	842
0	289

prune1.1s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize54.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (* (- (/ (* m (- 1.0 m)) v) 1.0) m))
0.5b	(cbrt (* (- (/ (* m (- 1.0 m)) v) 1.0) m))
0.5b	(cbrt (* (- (/ (* m (- 1.0 m)) v) 1.0) m))
0.5b	(* (cbrt (* (- (/ (* m (- 1.0 m)) v) 1.0) m)) (cbrt (* (- (/ (* m (- 1.0 m)) v) 1.0) m)))

rewrite136.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*l/`
18×	`cbrt-div`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`flip3--` `pow1/3` `flip--`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `swap-sqr` `associate-r` `associate-l` `add-log-exp`
2×	`pow-prod-down` `associate-*r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

17.0ms	(cbrt (* (- (/ (* m (- 1.0 m)) v) 1.0) m))
18.0ms	(cbrt (* (- (/ (* m (- 1.0 m)) v) 1.0) m))
32.0ms	(cbrt (* (- (/ (* m (- 1.0 m)) v) 1.0) m))
67.0ms	(* (cbrt (* (- (/ (* m (- 1.0 m)) v) 1.0) m)) (cbrt (* (- (/ (* m (- 1.0 m)) v) 1.0) m)))

series1.5s

Counts

4 → 12

Calls

4 calls:

382.0ms	(cbrt (* (- (/ (* m (- 1.0 m)) v) 1.0) m))
397.0ms	(cbrt (* (- (/ (* m (- 1.0 m)) v) 1.0) m))
343.0ms	(cbrt (* (- (/ (* m (- 1.0 m)) v) 1.0) m))
393.0ms	(* (cbrt (* (- (/ (* m (- 1.0 m)) v) 1.0) m)) (cbrt (* (- (/ (* m (- 1.0 m)) v) 1.0) m)))

simplify2.2s

Counts

84 → 84

Iterations

Iter	Nodes
done	5001
3	2547
2	867
1	355
0	148

prune526.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

regimes362.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	11
1	11
0	9

end0.0ms

sample2.1s

Algorithm

intervals

Results

800.0ms	13702×	pre	80	true
730.0ms	13702×	body	80	valid