Details

sample95.0ms

Algorithm

intervals

Results

21.0ms	416×	body	80	valid
12.0ms	416×	pre	80	true

simplify9.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
6	4269
5	937
4	310
3	98
2	38
1	16
0	8

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize75.0ms

Local error

Found 4 expressions with local error:

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

rewrite468.0ms

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` `insert-posit16` `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 → 101

Calls

4 calls:

79.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
79.0ms	(* m (- 1.0 m))
37.0ms	(/ (* m (- 1.0 m)) v)
261.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

series338.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
94.0ms	(* m (- 1.0 m))
90.0ms	(/ (* m (- 1.0 m)) v)
111.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

simplify3.6s

Counts

113 → 113

Iterations

Iter	Nodes
done	5004
2	1615
1	434
0	159

prune1.2s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize123.0ms

Local error

Found 4 expressions with local error:

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

rewrite1.2s

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
23×	`*-un-lft-identity`
22×	`add-cbrt-cube` `add-exp-log`
20×	`associate-*r/`
19×	`associate-r`
13×	`pow1`
12×	`frac-times` `flip3--` `flip--`
11×	`add-cube-cbrt`
9×	`associate-l`
8×	`prod-exp` `sqrt-prod` `cbrt-unprod` `associate-/l/`
7×	`flip3-+` `flip-+`
6×	`associate-*l/` `difference-of-squares`
5×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down`
4×	`sub-neg` `insert-posit16` `distribute-lft-out--` `add-log-exp`
3×	`cbrt-undiv` `associate-/r` `times-frac` `div-exp` `-commutative`
2×	`distribute-lft-out` `unswap-sqr`
1×	`clear-num` `frac-2neg` `div-inv` `associate-/l*`

Counts

4 → 129

Calls

4 calls:

197.0ms	(/ (* (* m (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m))) v)
102.0ms	(* m (+ (sqrt 1.0) (sqrt m)))
670.0ms	(* (- (/ (* (* m (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m))) v) 1.0) (- 1.0 m))
220.0ms	(* (* m (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))

series1.3s

Counts

4 → 12

Calls

4 calls:

541.0ms	(/ (* (* m (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m))) v)
95.0ms	(* m (+ (sqrt 1.0) (sqrt m)))
244.0ms	(* (- (/ (* (* m (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m))) v) 1.0) (- 1.0 m))
391.0ms	(* (* m (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))

simplify8.3s

Counts

141 → 141

Iterations

Iter	Nodes
done	5006
2	4421
1	939
0	301

prune1.6s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize116.0ms

Local error

Found 4 expressions with local error:

0.0b	(* m (- 1.0 m))
0.1b	(* (- (/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v)) 1.0) (- 1.0 m))
0.2b	(/ (* m (- 1.0 m)) (sqrt v))
0.3b	(/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v))

rewrite783.0ms

Algorithm

rewrite-expression-head

Rules

110×	`times-frac`
71×	`add-sqr-sqrt`
61×	`*-un-lft-identity` `sqrt-prod`
55×	`add-cube-cbrt`
22×	`add-cbrt-cube` `add-exp-log`
12×	`associate-/r*`
11×	`associate-/l*`
10×	`associate-r` `associate-l`
9×	`div-inv`
8×	`pow1` `flip3--` `flip--`
7×	`cbrt-undiv` `div-exp`
6×	`associate-*r/`
5×	`difference-of-squares`
4×	`distribute-rgt-in` `frac-times` `sub-neg` `distribute-lft-in` `prod-exp` `cbrt-unprod` `insert-posit16` `add-log-exp`
3×	`distribute-lft-out--` `associate-/l/`
2×	`clear-num` `frac-2neg` `pow-prod-down` `associate-l/` `-commutative` `unswap-sqr`

Counts

4 → 188

Calls

4 calls:

62.0ms	(* m (- 1.0 m))
587.0ms	(* (- (/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v)) 1.0) (- 1.0 m))
43.0ms	(/ (* m (- 1.0 m)) (sqrt v))
65.0ms	(/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v))

series353.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(* m (- 1.0 m))
98.0ms	(* (- (/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v)) 1.0) (- 1.0 m))
93.0ms	(/ (* m (- 1.0 m)) (sqrt v))
80.0ms	(/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v))

simplify5.8s

Counts

200 → 200

Iterations

Iter	Nodes
done	5003
2	2976
1	785
0	291

prune1.9s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize192.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* m (- 1.0 m)) v)
0.0b	(/ (* m (- 1.0 m)) v)
0.3b	(* (/ (* m (- 1.0 m)) v) (/ (* m (- 1.0 m)) v))
14.0b	(/ (* (- (* (/ (* m (- 1.0 m)) v) (/ (* m (- 1.0 m)) v)) (* 1.0 1.0)) (- 1.0 m)) (+ (/ (* m (- 1.0 m)) v) 1.0))

rewrite617.0ms

Algorithm

rewrite-expression-head

Rules

55×	`add-cbrt-cube` `add-exp-log`
22×	`*-un-lft-identity` `times-frac`
20×	`add-sqr-sqrt`
18×	`cbrt-undiv` `div-exp` `prod-exp` `add-cube-cbrt` `cbrt-unprod`
12×	`associate-/l/`
11×	`pow1`
10×	`associate-/r*`
8×	`flip3--` `flip--`
7×	`swap-sqr` `associate-r` `associate-l` `associate-*r/` `div-inv`
5×	`frac-times`
4×	`insert-posit16` `add-log-exp`
3×	`clear-num` `frac-2neg` `associate-l/` `associate-/l`
2×	`associate-/r/` `distribute-lft-out`
1×	`pow2` `flip3-+` `pow-plus` `pow-prod-down` `pow-sqr` `*-commutative` `pow-prod-up` `flip-+` `unswap-sqr`

Counts

4 → 139

Calls

4 calls:

53.0ms	(/ (* m (- 1.0 m)) v)
61.0ms	(/ (* m (- 1.0 m)) v)
145.0ms	(* (/ (* m (- 1.0 m)) v) (/ (* m (- 1.0 m)) v))
347.0ms	(/ (* (- (* (/ (* m (- 1.0 m)) v) (/ (* m (- 1.0 m)) v)) (* 1.0 1.0)) (- 1.0 m)) (+ (/ (* m (- 1.0 m)) v) 1.0))

series411.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(/ (* m (- 1.0 m)) v)
76.0ms	(/ (* m (- 1.0 m)) v)
92.0ms	(* (/ (* m (- 1.0 m)) v) (/ (* m (- 1.0 m)) v))
177.0ms	(/ (* (- (* (/ (* m (- 1.0 m)) v) (/ (* m (- 1.0 m)) v)) (* 1.0 1.0)) (- 1.0 m)) (+ (/ (* m (- 1.0 m)) v) 1.0))

simplify6.3s

Counts

151 → 151

Iterations

Iter	Nodes
done	5014
2	3158
1	711
0	200

prune1.5s

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes389.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	10
1	10
0	8

end0.0ms

sample1.9s

Algorithm

intervals

Results

971.0ms	13735×	body	80	valid
406.0ms	13735×	pre	80	true