Details

sample784.0ms

Algorithm

intervals

Results

121.0ms	440×	body	80	valid
42.0ms	440×	pre	80	true

simplify5.6s

Counts

1 → 1

Iterations

Useful iterations: 0 (108.0ms)

Iter	Nodes	Cost
0	8	13
1	16	13
2	40	13
3	105	13
4	360	13
5	1338	13
done	5000	13

prune45.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize256.0ms

Local error

Found 4 expressions with local error:

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

rewrite863.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
18×	`*-un-lft-identity`
13×	`add-exp-log` `add-cbrt-cube`
10×	`add-cube-cbrt` `associate-r`
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×	`times-frac` `prod-exp` `associate-/r*` `cbrt-unprod`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `associate-/l/` `unswap-sqr`
1×	`frac-2neg` `diff-log` `clear-num` `div-inv` `associate-/l*`

Counts

4 → 97

Calls

4 calls:

121.0ms	(* m (- 1.0 m))
113.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
90.0ms	(/ (* m (- 1.0 m)) v)
454.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

series1.1s

Counts

4 → 12

Calls

4 calls:

116.0ms	(* m (- 1.0 m))
234.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
174.0ms	(/ (* m (- 1.0 m)) v)
552.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

simplify7.9s

Counts

109 → 109

Iterations

Useful iterations: done (7.8s)

Iter	Nodes	Cost
0	155	1545
1	430	1497
2	2221	1385
done	5000	1379

prune1.7s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize72.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 1.0 (- (/ (* m (- 1.0 m)) v) 1.0)) (* (- m) (- (/ (* m (- 1.0 m)) v) 1.0)))
0.1b	(/ (* m (- 1.0 m)) v)
0.1b	(/ (* m (- 1.0 m)) v)
0.2b	(* (- m) (- (/ (* m (- 1.0 m)) v) 1.0))

rewrite1.1s

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 106

Calls

4 calls:

287.0ms	(+ (* 1.0 (- (/ (* m (- 1.0 m)) v) 1.0)) (* (- m) (- (/ (* m (- 1.0 m)) v) 1.0)))
33.0ms	(/ (* m (- 1.0 m)) v)
55.0ms	(/ (* m (- 1.0 m)) v)
682.0ms	(* (- m) (- (/ (* m (- 1.0 m)) v) 1.0))

series1.1s

Counts

4 → 12

Calls

4 calls:

418.0ms	(+ (* 1.0 (- (/ (* m (- 1.0 m)) v) 1.0)) (* (- m) (- (/ (* m (- 1.0 m)) v) 1.0)))
131.0ms	(/ (* m (- 1.0 m)) v)
347.0ms	(/ (* m (- 1.0 m)) v)
198.0ms	(* (- m) (- (/ (* m (- 1.0 m)) v) 1.0))

simplify6.7s

Counts

118 → 118

Iterations

Useful iterations: done (6.6s)

Iter	Nodes	Cost
0	174	2243
1	559	1991
2	3123	1780
done	5001	1776

prune1.5s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite1.1s

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 120

Calls

4 calls:

103.0ms	(- (* m (/ (- 1.0 m) v)) 1.0)
94.0ms	(/ (- 1.0 m) v)
334.0ms	(* (- (* m (/ (- 1.0 m) v)) 1.0) (- 1.0 m))
514.0ms	(* m (/ (- 1.0 m) v))

series1.1s

Counts

4 → 12

Calls

4 calls:

193.0ms	(- (* m (/ (- 1.0 m) v)) 1.0)
309.0ms	(/ (- 1.0 m) v)
139.0ms	(* (- (* m (/ (- 1.0 m) v)) 1.0) (- 1.0 m))
463.0ms	(* m (/ (- 1.0 m) v))

simplify6.3s

Counts

132 → 132

Iterations

Useful iterations: done (6.1s)

Iter	Nodes	Cost
0	180	1830
1	499	1762
2	2628	1634
done	5002	1628

prune2.7s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize364.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (- m) (- (/ (* m (- 1.0 m)) v) 1.0))) (cbrt (* (- m) (- (/ (* m (- 1.0 m)) v) 1.0))))
0.6b	(cbrt (* (- m) (- (/ (* m (- 1.0 m)) v) 1.0)))
0.6b	(cbrt (* (- m) (- (/ (* m (- 1.0 m)) v) 1.0)))
0.6b	(cbrt (* (- m) (- (/ (* m (- 1.0 m)) v) 1.0)))

rewrite576.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

61.0ms	(* (cbrt (* (- m) (- (/ (* m (- 1.0 m)) v) 1.0))) (cbrt (* (- m) (- (/ (* m (- 1.0 m)) v) 1.0))))
205.0ms	(cbrt (* (- m) (- (/ (* m (- 1.0 m)) v) 1.0)))
103.0ms	(cbrt (* (- m) (- (/ (* m (- 1.0 m)) v) 1.0)))
186.0ms	(cbrt (* (- m) (- (/ (* m (- 1.0 m)) v) 1.0)))

series12.1s

Counts

4 → 12

Calls

4 calls:

3.5s	(* (cbrt (* (- m) (- (/ (* m (- 1.0 m)) v) 1.0))) (cbrt (* (- m) (- (/ (* m (- 1.0 m)) v) 1.0))))
3.5s	(cbrt (* (- m) (- (/ (* m (- 1.0 m)) v) 1.0)))
2.5s	(cbrt (* (- m) (- (/ (* m (- 1.0 m)) v) 1.0)))
2.6s	(cbrt (* (- m) (- (/ (* m (- 1.0 m)) v) 1.0)))

simplify3.9s

Counts

84 → 84

Iterations

Useful iterations: done (3.8s)

Iter	Nodes	Cost
0	151	2600
1	369	2431
2	1302	2225
done	5000	2012

prune3.0s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes894.0ms

Accuracy

0% (0.1b remaining)

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

bsearch5.0ms

simplify43.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	24
1	17	24
2	21	24
3	22	24
done	22	24

end0.0ms

sample17.5s

Algorithm

intervals

Results

10.1s	13727×	pre	80	true
5.9s	13727×	body	80	valid