Details

sample287.0ms

Algorithm

intervals

Results

97.0ms	453×	body	80	valid
47.0ms	453×	pre	80	true

simplify2.3s

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	8	203
1	16	203
2	40	203
3	105	203
4	359	203
5	1353	203
done	5000	203

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize40.0ms

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

rewrite210.0ms

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:

31.0ms	(* m (- 1.0 m))
31.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
113.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
28.0ms	(/ (* m (- 1.0 m)) v)

series286.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(* m (- 1.0 m))
49.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
64.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
87.0ms	(/ (* m (- 1.0 m)) v)

simplify1.9s

Counts

109 → 109

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	155	31462
1	432	26165
2	2244	25925
done	5000	25725

prune388.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- 1.0 m) v)
0.0b	(- (* m (/ (- 1.0 m) v)) 1.0)
0.0b	(* (- (* m (/ (- 1.0 m) v)) 1.0) (- 1.0 m))
0.5b	(* m (/ (- 1.0 m) v))

rewrite111.0ms

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

Counts

4 → 120

Calls

4 calls:

13.0ms	(/ (- 1.0 m) v)
10.0ms	(- (* m (/ (- 1.0 m) v)) 1.0)
58.0ms	(* (- (* m (/ (- 1.0 m) v)) 1.0) (- 1.0 m))
25.0ms	(* m (/ (- 1.0 m) v))

series179.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(/ (- 1.0 m) v)
28.0ms	(- (* m (/ (- 1.0 m) v)) 1.0)
59.0ms	(* (- (* m (/ (- 1.0 m) v)) 1.0) (- 1.0 m))
43.0ms	(* m (/ (- 1.0 m) v))

simplify2.2s

Counts

132 → 132

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	180	37412
1	499	32403
2	2636	31636
done	5000	31556

prune617.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize48.0ms

Local error

Found 4 expressions with local error:

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

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
20×	`*-un-lft-identity`
19×	`associate-r`
16×	`times-frac`
14×	`add-cube-cbrt`
9×	`add-cbrt-cube` `add-exp-log`
6×	`pow1`
4×	`associate-*r/` `add-log-exp`
3×	`cbrt-prod` `cbrt-div` `pow1/3` `associate-l` `distribute-lft-out--` `difference-of-squares`
2×	`prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `div-exp` `pow-prod-down` `*-commutative` `div-inv`

Counts

4 → 68

Calls

4 calls:

27.0ms	(* m (/ (- 1.0 m) v))
13.0ms	(cbrt (* m (/ (- 1.0 m) v)))
8.0ms	(cbrt (* m (/ (- 1.0 m) v)))
7.0ms	(cbrt (* m (/ (- 1.0 m) v)))

series462.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(* m (/ (- 1.0 m) v))
128.0ms	(cbrt (* m (/ (- 1.0 m) v)))
139.0ms	(cbrt (* m (/ (- 1.0 m) v)))
126.0ms	(cbrt (* m (/ (- 1.0 m) v)))

simplify1.2s

Counts

80 → 80

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	135	24294
1	329	21669
2	1234	20975
done	5000	19815

prune455.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

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

rewrite252.0ms

Algorithm

rewrite-expression-head

Rules

28×	`frac-times`
19×	`flip3--` `flip--`
16×	`associate-*r/` `sqrt-prod`
15×	`*-un-lft-identity`
14×	`add-cbrt-cube` `add-exp-log`
13×	`add-sqr-sqrt`
11×	`pow1` `add-cube-cbrt`
9×	`flip3-+` `times-frac` `flip-+`
8×	`distribute-rgt-in` `distribute-lft-in` `associate-*l/`
5×	`associate-l`
4×	`sub-neg` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`associate-/r*` `pow-prod-down` `div-inv`
2×	`cbrt-undiv` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `sqrt-div` `div-exp` `distribute-lft-out` `associate-/l/`
1×	`clear-num` `frac-2neg` `associate-r` `-commutative` `associate-/l`

Counts

4 → 113

Calls

4 calls:

24.0ms	(/ (* m (- 1.0 m)) v)
6.0ms	(sqrt (/ (* m (- 1.0 m)) v))
6.0ms	(sqrt (/ (* m (- 1.0 m)) v))
211.0ms	(* (+ (sqrt (/ (* m (- 1.0 m)) v)) (sqrt 1.0)) (* (- (sqrt (/ (* m (- 1.0 m)) v)) (sqrt 1.0)) (- 1.0 m)))

series529.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(/ (* m (- 1.0 m)) v)
107.0ms	(sqrt (/ (* m (- 1.0 m)) v))
134.0ms	(sqrt (/ (* m (- 1.0 m)) v))
232.0ms	(* (+ (sqrt (/ (* m (- 1.0 m)) v)) (sqrt 1.0)) (* (- (sqrt (/ (* m (- 1.0 m)) v)) (sqrt 1.0)) (- 1.0 m)))

simplify1.8s

Counts

125 → 125

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	244	65211
1	771	44944
done	5000	43580

prune717.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes156.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	203
1	10	203
done	10	203

end0.0ms

sample1.5s

Algorithm

intervals

Results

800.0ms	13750×	body	80	valid
390.0ms	13750×	pre	80	true