Details

sample381.0ms

Algorithm

intervals

Results

79.0ms	438×	pre	80	true
31.0ms	438×	body	80	valid

simplify2.1s

Counts: 1 → 1

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize12.0ms

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)

rewrite195.0ms

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:

30.0ms	(* m (- 1.0 m))
23.0ms	(/ (* m (- 1.0 m)) v)
138.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series190.0ms

Counts

3 → 9

Calls

3 calls:

79.0ms	(* m (- 1.0 m))
48.0ms	(/ (* m (- 1.0 m)) v)
62.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify844.0ms

Counts: 80 → 80

prune218.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (- (* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v))) 1.0) m)
0.3b	(/ m (sqrt v))
0.3b	(/ (- 1.0 m) (sqrt v))
0.4b	(* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v)))

rewrite263.0ms

Algorithm

rewrite-expression-head

Rules

128×	`add-sqr-sqrt`
108×	`times-frac`
96×	`*-un-lft-identity`
70×	`add-cube-cbrt`
60×	`sqrt-prod`
37×	`associate-r`
25×	`associate-l`
22×	`add-exp-log` `add-cbrt-cube`
13×	`distribute-lft-out--` `difference-of-squares`
12×	`associate-/r*`
10×	`unswap-sqr`
8×	`pow1` `associate-/l*`
6×	`cbrt-undiv` `div-exp`
5×	`prod-exp` `cbrt-unprod`
4×	`div-inv` `add-log-exp`
3×	`associate-*l/`
2×	`flip3--` `frac-2neg` `pow-prod-down` `clear-num` `*-commutative` `flip--` `associate-/l/`
1×	`frac-times` `div-sub` `associate-*r/`

Counts

4 → 200

Calls

4 calls:

115.0ms	(* (- (* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v))) 1.0) m)
13.0ms	(/ m (sqrt v))
36.0ms	(/ (- 1.0 m) (sqrt v))
90.0ms	(* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v)))

series270.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(* (- (* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v))) 1.0) m)
65.0ms	(/ m (sqrt v))
58.0ms	(/ (- 1.0 m) (sqrt v))
66.0ms	(* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v)))

simplify1.4s

Counts: 212 → 212

prune770.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (- (* m (/ (/ (- 1.0 m) (sqrt v)) (sqrt v))) 1.0) m)
0.3b	(* m (/ (/ (- 1.0 m) (sqrt v)) (sqrt v)))
0.3b	(/ (- 1.0 m) (sqrt v))
0.4b	(/ (/ (- 1.0 m) (sqrt v)) (sqrt v))

rewrite512.0ms

Algorithm

rewrite-expression-head

Rules

838×	`times-frac`
582×	`add-sqr-sqrt`
556×	`*-un-lft-identity`
425×	`sqrt-prod`
386×	`add-cube-cbrt`
211×	`associate-r`
85×	`distribute-lft-out--` `difference-of-squares`
39×	`associate-/l*`
22×	`add-exp-log` `add-cbrt-cube`
16×	`div-inv`
12×	`associate-/r*`
8×	`pow1` `unswap-sqr`
7×	`cbrt-undiv` `div-exp`
6×	`associate-l`
4×	`prod-exp` `cbrt-unprod` `add-log-exp`
3×	`div-sub` `associate-/l/`
2×	`flip3--` `frac-2neg` `pow-prod-down` `associate-l/` `clear-num` `-commutative` `flip--`
1×	`associate-*r/`

Counts

4 → 570

Calls

4 calls:

210.0ms	(* (- (* m (/ (/ (- 1.0 m) (sqrt v)) (sqrt v))) 1.0) m)
132.0ms	(* m (/ (/ (- 1.0 m) (sqrt v)) (sqrt v)))
21.0ms	(/ (- 1.0 m) (sqrt v))
70.0ms	(/ (/ (- 1.0 m) (sqrt v)) (sqrt v))

series295.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(* (- (* m (/ (/ (- 1.0 m) (sqrt v)) (sqrt v))) 1.0) m)
78.0ms	(* m (/ (/ (- 1.0 m) (sqrt v)) (sqrt v)))
70.0ms	(/ (- 1.0 m) (sqrt v))
61.0ms	(/ (/ (- 1.0 m) (sqrt v)) (sqrt v))

simplify874.0ms

Counts: 582 → 582

prune1.6s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 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) (sqrt m))
0.4b	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m)) (sqrt m))

rewrite320.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 98

Calls

4 calls:

38.0ms	(* m (- 1.0 m))
18.0ms	(/ (* m (- 1.0 m)) v)
112.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m))
146.0ms	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m)) (sqrt m))

series285.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(* m (- 1.0 m))
55.0ms	(/ (* m (- 1.0 m)) v)
107.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m))
69.0ms	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m)) (sqrt m))

simplify1.0s

Counts: 110 → 110

prune331.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0b

regimes158.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.7s

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.2s	13707×	body	80	valid
433.0ms	13707×	pre	80	true