Details

sample453.0ms

Algorithm

intervals

Results

33.0ms	436×	body	80	valid
13.0ms	436×	pre	80	true

simplify5.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
9	3211
8	1645
7	761
6	482
5	319
4	149
3	60
2	32
1	16
0	8

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize31.0ms

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)

rewrite236.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 71

Calls

3 calls:

45.0ms	(* m (- 1.0 m))
32.0ms	(/ (* m (- 1.0 m)) v)
152.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series244.0ms

Counts

3 → 9

Calls

3 calls:

84.0ms	(* m (- 1.0 m))
78.0ms	(/ (* m (- 1.0 m)) v)
81.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify2.1s

Counts

80 → 80

Iterations

Iter	Nodes
done	5001
2	1042
1	332
0	126

prune563.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 3 expressions with local error:

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

rewrite727.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 163

Calls

3 calls:

23.0ms	(/ v (- 1.0 m))
35.0ms	(/ m (/ v (- 1.0 m)))
651.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) m)

series210.0ms

Counts

3 → 9

Calls

3 calls:

64.0ms	(/ v (- 1.0 m))
71.0ms	(/ m (/ v (- 1.0 m)))
74.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) m)

simplify3.4s

Counts

172 → 172

Iterations

Iter	Nodes
done	5003
2	2514
1	699
0	271

prune1.2s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize40.0ms

Local error

Found 4 expressions with local error:

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

rewrite638.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 172

Calls

4 calls:

44.0ms	(* m (- 1.0 m))
484.0ms	(* (- (/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v)) 1.0) m)
37.0ms	(/ (* m (- 1.0 m)) (sqrt v))
58.0ms	(/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v))

series450.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(* m (- 1.0 m))
103.0ms	(* (- (/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v)) 1.0) m)
102.0ms	(/ (* m (- 1.0 m)) (sqrt v))
152.0ms	(/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v))

simplify4.0s

Counts

184 → 184

Iterations

Iter	Nodes
done	5001
2	2452
1	706
0	268

prune1.4s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize78.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (* (/ m (fabs (cbrt v))) (/ (- 1.0 m) (sqrt v))) (sqrt (cbrt v)))
0.4b	(* (/ m (fabs (cbrt v))) (/ (- 1.0 m) (sqrt v)))
0.7b	(cbrt v)
0.7b	(cbrt v)

rewrite166.0ms

Algorithm

rewrite-expression-head

Rules

67×	`add-sqr-sqrt`
55×	`times-frac`
48×	`*-un-lft-identity`
36×	`add-cube-cbrt`
34×	`add-exp-log` `associate-r` `add-cbrt-cube`
29×	`sqrt-prod`
13×	`cbrt-undiv` `div-exp` `associate-l`
12×	`cbrt-prod`
9×	`associate-/r*`
8×	`prod-exp` `cbrt-unprod`
6×	`pow1` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
4×	`add-log-exp`
3×	`div-inv` `associate-/l/`
2×	`frac-times` `pow1/3` `associate-r/` `associate-l/`
1×	`frac-2neg` `pow-prod-down` `clear-num` `-commutative` `associate-/l`

Counts

4 → 137

Calls

4 calls:

52.0ms	(/ (* (/ m (fabs (cbrt v))) (/ (- 1.0 m) (sqrt v))) (sqrt (cbrt v)))
97.0ms	(* (/ m (fabs (cbrt v))) (/ (- 1.0 m) (sqrt v)))
2.0ms	(cbrt v)
2.0ms	(cbrt v)

series1.2s

Counts

4 → 12

Calls

4 calls:

329.0ms	(/ (* (/ m (fabs (cbrt v))) (/ (- 1.0 m) (sqrt v))) (sqrt (cbrt v)))
138.0ms	(* (/ m (fabs (cbrt v))) (/ (- 1.0 m) (sqrt v)))
356.0ms	(cbrt v)
367.0ms	(cbrt v)

simplify4.2s

Counts

149 → 149

Iterations

Iter	Nodes
done	5002
2	3235
1	852
0	290

prune1.3s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes222.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	9
1	9
0	8

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.4s	13792×	body	80	valid
621.0ms	13792×	pre	80	true