Details

sample170.0ms

Algorithm

intervals

Results

27.0ms	453×	body	80	valid
13.0ms	453×	pre	80	true

simplify1.3s

Counts

1 → 1

Iterations

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

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)

rewrite177.0ms

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:

34.0ms	(* m (- 1.0 m))
32.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
83.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
22.0ms	(/ (* m (- 1.0 m)) v)

series243.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(* m (- 1.0 m))
40.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
52.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
78.0ms	(/ (* m (- 1.0 m)) v)

simplify1.8s

Counts

109 → 109

Iterations

Iter	Nodes
done	5000
2	2244
1	432
0	155

prune510.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize33.0ms

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))

rewrite140.0ms

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:

14.0ms	(/ (- 1.0 m) v)
11.0ms	(- (* m (/ (- 1.0 m) v)) 1.0)
85.0ms	(* (- (* m (/ (- 1.0 m) v)) 1.0) (- 1.0 m))
25.0ms	(* m (/ (- 1.0 m) v))

series214.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(/ (- 1.0 m) v)
42.0ms	(- (* m (/ (- 1.0 m) v)) 1.0)
62.0ms	(* (- (* m (/ (- 1.0 m) v)) 1.0) (- 1.0 m))
49.0ms	(* m (/ (- 1.0 m) v))

simplify1.9s

Counts

132 → 132

Iterations

Iter	Nodes
done	5000
2	2636
1	499
0	180

prune604.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize69.0ms

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)))

rewrite94.0ms

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:

44.0ms	(* m (/ (- 1.0 m) v))
14.0ms	(cbrt (* m (/ (- 1.0 m) v)))
14.0ms	(cbrt (* m (/ (- 1.0 m) v)))
19.0ms	(cbrt (* m (/ (- 1.0 m) v)))

series504.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(* m (/ (- 1.0 m) v))
135.0ms	(cbrt (* m (/ (- 1.0 m) v)))
160.0ms	(cbrt (* m (/ (- 1.0 m) v)))
139.0ms	(cbrt (* m (/ (- 1.0 m) v)))

simplify1.3s

Counts

80 → 80

Iterations

Iter	Nodes
done	5000
2	1234
1	329
0	135

prune520.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize61.0ms

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)))

rewrite200.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 97

Calls

4 calls:

14.0ms	(/ (* m (- 1.0 m)) v)
11.0ms	(sqrt (/ (* m (- 1.0 m)) v))
6.0ms	(sqrt (/ (* m (- 1.0 m)) v))
167.0ms	(* (+ (sqrt (/ (* m (- 1.0 m)) v)) (sqrt 1.0)) (- (sqrt (/ (* m (- 1.0 m)) v)) (sqrt 1.0)))

series456.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(/ (* m (- 1.0 m)) v)
107.0ms	(sqrt (/ (* m (- 1.0 m)) v))
98.0ms	(sqrt (/ (* m (- 1.0 m)) v))
185.0ms	(* (+ (sqrt (/ (* m (- 1.0 m)) v)) (sqrt 1.0)) (- (sqrt (/ (* m (- 1.0 m)) v)) (sqrt 1.0)))

simplify1.8s

Counts

109 → 109

Iterations

Iter	Nodes
done	5001
2	2936
1	520
0	184

prune691.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes178.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	10
1	10
0	8

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.2s	13750×	body	80	valid
399.0ms	13750×	pre	80	true