Details

sample193.0ms

Algorithm

intervals

Results

45.0ms	410×	body	80	valid
23.0ms	410×	pre	80	true

simplify300.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

299.0ms

(* (- (/ (* m (- 1 m)) v) 1) m)

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (- (/ (* m (- 1 m)) v) 1) m)
0.0b	(/ (* m (- 1 m)) v)
0.0b	(* m (- 1 m))
0.0b	(- (/ (* m (- 1 m)) v) 1)

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

52×	`add-sqr-sqrt`
46×	`*-un-lft-identity`
39×	`prod-diff`
37×	`add-cube-cbrt`
19×	`add-exp-log`
15×	`times-frac`
13×	`add-cbrt-cube`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`associate-l`
9×	`associate-r`
8×	`pow1`
7×	`fma-neg`
6×	`add-log-exp` `difference-of-squares`
5×	`div-inv`
4×	`expm1-log1p-u` `flip3--` `div-exp` `prod-exp` `associate-*r/` `insert-posit16` `log1p-expm1-u` `flip--`
3×	`expm1-def` `associate-/r*` `sub-neg` `cbrt-unprod` `distribute-lft-out--`
2×	`cbrt-undiv` `difference-of-sqr-1` `pow-prod-down` `associate-l/` `-commutative` `unswap-sqr` `associate-/l/`
1×	`clear-num` `frac-2neg` `diff-log` `associate-/l*`

Counts

4 → 151

Calls

4 calls:

Slowest

51.0ms	(* (- (/ (* m (- 1 m)) v) 1) m)
17.0ms	(- (/ (* m (- 1 m)) v) 1)
16.0ms	(/ (* m (- 1 m)) v)
16.0ms	(* m (- 1 m))

series145.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

47.0ms	(* m (- 1 m))
42.0ms	(* (- (/ (* m (- 1 m)) v) 1) m)
37.0ms	(/ (* m (- 1 m)) v)
19.0ms	(- (/ (* m (- 1 m)) v) 1)

simplify13.5s

Counts

135 → 163

Calls

135 calls:

Slowest

555.0ms	(* (cbrt (/ (* m (- 1 m)) v)) (cbrt (/ (* m (- 1 m)) v)))
548.0ms	(* (- (pow (/ (* m (- 1 m)) v) 3) (pow 1 3)) m)
532.0ms	(fma (/ m (* (cbrt v) (cbrt v))) (/ (- 1 m) (cbrt v)) (- (* (sqrt 1) (sqrt 1))))
420.0ms	(fma (/ m (* (cbrt v) (cbrt v))) (/ (- 1 m) (cbrt v)) (- (* 1 1)))
399.0ms	(* (* (* (- (/ (* m (- 1 m)) v) 1) (- (/ (* m (- 1 m)) v) 1)) (- (/ (* m (- 1 m)) v) 1)) (* (* m m) m))

prune1.4s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.3b	(* m (/ (- 1 m) v))
0.2b	(* (- (* m (/ (- 1 m) v)) 1) m)
0.0b	(/ (- 1 m) v)
0.0b	(- (* m (/ (- 1 m) v)) 1)

rewrite128.0ms

Algorithm

rewrite-expression-head

Rules

57×	`add-sqr-sqrt`
50×	`*-un-lft-identity`
37×	`times-frac`
29×	`add-cube-cbrt`
25×	`associate-r`
19×	`add-exp-log`
14×	`difference-of-squares`
13×	`add-cbrt-cube`
8×	`pow1`
7×	`distribute-lft-out--`
6×	`associate-l` `associate-/l*` `add-log-exp`
5×	`prod-exp`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`expm1-def` `associate-/r*` `flip3--` `div-exp` `prod-diff` `cbrt-unprod` `flip--` `unswap-sqr`
2×	`cbrt-undiv` `pow-prod-down` `associate-l/` `-commutative` `div-inv` `associate-/l/`
1×	`clear-num` `sub-neg` `frac-2neg` `fma-neg` `diff-log` `div-sub` `associate-*r/`

Counts

4 → 134

Calls

4 calls:

Slowest

50.0ms	(* (- (* m (/ (- 1 m) v)) 1) m)
35.0ms	(* m (/ (- 1 m) v))
23.0ms	(/ (- 1 m) v)
19.0ms	(- (* m (/ (- 1 m) v)) 1)

series141.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

47.0ms	(/ (- 1 m) v)
45.0ms	(* m (/ (- 1 m) v))
31.0ms	(* (- (* m (/ (- 1 m) v)) 1) m)
18.0ms	(- (* m (/ (- 1 m) v)) 1)

simplify8.2s

Counts

113 → 146

Calls

113 calls:

Slowest

822.0ms	(* (- (pow (* m (/ (- 1 m) v)) 3) (pow 1 3)) m)
774.0ms	(* (* (* m m) m) (* (* (/ (- 1 m) v) (/ (- 1 m) v)) (/ (- 1 m) v)))
434.0ms	(/ (exp (* m (/ (- 1 m) v))) (exp 1))
291.0ms	(/ (* (* (- 1 m) (- 1 m)) (- 1 m)) (* (* v v) v))
281.0ms	(* (- (* (* m (/ (- 1 m) v)) (* m (/ (- 1 m) v))) (* 1 1)) m)

prune1.1s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (- 1 m) (sqrt v))
0.3b	(/ m (sqrt v))
0.2b	(fma (/ m (sqrt v)) (/ (- 1 m) (sqrt v)) (- 1))
0.2b	(* (fma (/ m (sqrt v)) (/ (- 1 m) (sqrt v)) (- 1)) m)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

65×	`add-sqr-sqrt`
63×	`*-un-lft-identity`
54×	`times-frac`
42×	`add-cube-cbrt`
33×	`sqrt-prod`
14×	`difference-of-squares`
12×	`associate-/r*`
10×	`add-cbrt-cube` `add-exp-log`
9×	`associate-/l*`
7×	`distribute-lft-out--`
6×	`pow1`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-r` `associate-l`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv` `associate-/l/`
1×	`flip3--` `div-sub` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `flip--` `unswap-sqr`

Counts

4 → 140

Calls

4 calls:

Slowest

17.0ms	(/ (- 1 m) (sqrt v))
5.0ms	(* (fma (/ m (sqrt v)) (/ (- 1 m) (sqrt v)) (- 1)) m)
5.0ms	(/ m (sqrt v))
0.0ms	(fma (/ m (sqrt v)) (/ (- 1 m) (sqrt v)) (- 1))

series313.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

109.0ms	(* (fma (/ m (sqrt v)) (/ (- 1 m) (sqrt v)) (- 1)) m)
78.0ms	(fma (/ m (sqrt v)) (/ (- 1 m) (sqrt v)) (- 1))
69.0ms	(/ (- 1 m) (sqrt v))
57.0ms	(/ m (sqrt v))

simplify6.3s

Counts

154 → 152

Calls

154 calls:

Slowest

537.0ms	(* (* (* (fma (/ m (sqrt v)) (/ (- 1 m) (sqrt v)) (- 1)) (fma (/ m (sqrt v)) (/ (- 1 m) (sqrt v)) (- 1))) (fma (/ m (sqrt v)) (/ (- 1 m) (sqrt v)) (- 1))) (* (* m m) m))
461.0ms	(* (cbrt (fma (/ m (sqrt v)) (/ (- 1 m) (sqrt v)) (- 1))) (cbrt (fma (/ m (sqrt v)) (/ (- 1 m) (sqrt v)) (- 1))))
425.0ms	(* (sqrt (fma (/ m (sqrt v)) (/ (- 1 m) (sqrt v)) (- 1))) (sqrt m))
367.0ms	(sqrt (fma (/ m (sqrt v)) (/ (- 1 m) (sqrt v)) (- 1)))
365.0ms	(* (sqrt (fma (/ m (sqrt v)) (/ (- 1 m) (sqrt v)) (- 1))) (sqrt m))

prune1.5s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (* (- (* m (/ (- 1 m) v)) 1) (sqrt m)) (sqrt m))
0.3b	(* m (/ (- 1 m) v))
0.2b	(* (- (* m (/ (- 1 m) v)) 1) (sqrt m))
0.0b	(/ (- 1 m) v)

rewrite216.0ms

Algorithm

rewrite-expression-head

Rules

61×	`add-sqr-sqrt`
52×	`*-un-lft-identity`
37×	`times-frac`
34×	`associate-r`
31×	`add-cube-cbrt`
18×	`add-cbrt-cube` `add-exp-log`
14×	`difference-of-squares`
13×	`pow1`
7×	`associate-l` `sqrt-prod` `distribute-lft-out--`
6×	`associate-l/` `prod-exp` `cbrt-unprod` `associate-/l`
5×	`pow-prod-down`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`associate-/r` `flip3--` `-commutative` `flip--`
2×	`cbrt-undiv` `div-exp` `div-inv` `associate-/l/`
1×	`clear-num` `frac-2neg` `div-sub` `associate-*r/`

Counts

4 → 142

Calls

4 calls:

Slowest

100.0ms	(* (* (- (* m (/ (- 1 m) v)) 1) (sqrt m)) (sqrt m))
70.0ms	(* (- (* m (/ (- 1 m) v)) 1) (sqrt m))
24.0ms	(/ (- 1 m) v)
18.0ms	(* m (/ (- 1 m) v))

series285.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

107.0ms	(* (- (* m (/ (- 1 m) v)) 1) (sqrt m))
75.0ms	(* (* (- (* m (/ (- 1 m) v)) 1) (sqrt m)) (sqrt m))
60.0ms	(* m (/ (- 1 m) v))
43.0ms	(/ (- 1 m) v)

simplify10.6s

Counts

124 → 154

Calls

124 calls:

Slowest

804.0ms	(* (- (pow (* m (/ (- 1 m) v)) 3) (pow 1 3)) (sqrt m))
803.0ms	(* (* (* m m) m) (* (* (/ (- 1 m) v) (/ (- 1 m) v)) (/ (- 1 m) v)))
749.0ms	(* (* (- (pow (* m (/ (- 1 m) v)) 3) (pow 1 3)) (sqrt m)) (sqrt m))
700.0ms	(* (* (* (- (* m (/ (- 1 m) v)) 1) (- (* m (/ (- 1 m) v)) 1)) (- (* m (/ (- 1 m) v)) 1)) (* (* (sqrt m) (sqrt m)) (sqrt m)))
611.0ms	(* (* (* (* (- (* m (/ (- 1 m) v)) 1) (sqrt m)) (* (- (* m (/ (- 1 m) v)) 1) (sqrt m))) (* (- (* m (/ (- 1 m) v)) 1) (sqrt m))) (* (* (sqrt m) (sqrt m)) (sqrt m)))

prune1.9s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes200.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch2.0ms

end0.0ms

sample2.2s

Algorithm

intervals

Results

1.3s	13649×	body	80	valid
621.0ms	13649×	pre	80	true