Details

sample164.0ms

Algorithm

intervals

Results

47.0ms	441×	body	80	valid
23.0ms	441×	pre	80	true

simplify3.4s

Counts

1 → 1

Iterations

Iter	Nodes
6	3591
5	1094
4	330
3	97
2	39
1	17
0	8

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite130.0ms

Algorithm

rewrite-expression-head

Rules

67×	`add-sqr-sqrt`
61×	`*-un-lft-identity`
57×	`prod-diff`
49×	`add-cube-cbrt`
22×	`distribute-rgt-in` `distribute-lft-in`
19×	`add-exp-log`
15×	`times-frac`
13×	`add-cbrt-cube`
12×	`associate-r`
10×	`associate-l`
9×	`flip3--` `flip--`
8×	`pow1` `difference-of-squares`
7×	`fma-neg`
6×	`associate-*r/` `add-log-exp`
5×	`sub-neg` `div-inv`
4×	`expm1-log1p-u` `frac-times` `div-exp` `prod-exp` `insert-posit16` `log1p-expm1-u` `distribute-lft-out--`
3×	`expm1-def` `associate-/r*` `cbrt-unprod`
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 → 182

Calls

4 calls:

19.0ms	(- (/ (* m (- 1 m)) v) 1)
16.0ms	(* m (- 1 m))
15.0ms	(/ (* m (- 1 m)) v)
76.0ms	(* (- (/ (* m (- 1 m)) v) 1) (- 1 m))

series186.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(- (/ (* m (- 1 m)) v) 1)
52.0ms	(* m (- 1 m))
66.0ms	(/ (* m (- 1 m)) v)
50.0ms	(* (- (/ (* m (- 1 m)) v) 1) (- 1 m))

simplify16.9s

Counts

194 → 194

Iterations

Iter	Nodes
3	7090
2	1799
1	626
0	269

prune1.6s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ m (/ v (- 1 m))) 1)
0.0b	(/ v (- 1 m))
0.0b	(* (- (/ m (/ v (- 1 m))) 1) (- 1 m))
0.1b	(/ m (/ v (- 1 m)))

rewrite436.0ms

Algorithm

rewrite-expression-head

Rules

684×	`times-frac`
594×	`add-sqr-sqrt`
560×	`*-un-lft-identity`
391×	`add-cube-cbrt`
249×	`prod-diff`
118×	`difference-of-squares`
77×	`fma-neg`
55×	`distribute-lft-out--`
39×	`associate-/r/`
30×	`associate-/r*`
24×	`flip3--` `flip--`
22×	`div-inv`
19×	`add-exp-log`
13×	`add-cbrt-cube` `associate-l`
11×	`distribute-rgt-in` `distribute-lft-in`
7×	`div-exp`
6×	`pow1` `difference-of-sqr-1` `associate-r` `associate-/l*` `add-log-exp`
4×	`expm1-log1p-u` `frac-times` `cbrt-undiv` `insert-posit16` `log1p-expm1-u`
3×	`expm1-def` `sub-neg`
2×	`clear-num` `frac-2neg` `associate-l/` `associate-r/`
1×	`diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 561

Calls

4 calls:

103.0ms	(- (/ m (/ v (- 1 m))) 1)
16.0ms	(/ v (- 1 m))
267.0ms	(* (- (/ m (/ v (- 1 m))) 1) (- 1 m))
21.0ms	(/ m (/ v (- 1 m)))

series159.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(- (/ m (/ v (- 1 m))) 1)
34.0ms	(/ v (- 1 m))
51.0ms	(* (- (/ m (/ v (- 1 m))) 1) (- 1 m))
53.0ms	(/ m (/ v (- 1 m)))

simplify7.0s

Counts

573 → 573

Iterations

Iter	Nodes
2	4044
1	1429
0	606

prune5.3s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (fma (/ m v) (- 1 m) -1) (- 1 m))
0.0b	(fma (/ m v) (- 1 m) -1)
0.0b	(fma (/ m v) (- 1 m) -1)
57.1b	(fma (- (sqrt m)) (sqrt m) m)

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
21×	`*-un-lft-identity`
18×	`prod-diff` `add-cube-cbrt`
11×	`distribute-rgt-in` `distribute-lft-in`
6×	`pow1` `add-cbrt-cube` `associate-r` `add-exp-log`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-l` `fma-udef`
2×	`sub-neg` `associate-*r/` `difference-of-squares`
1×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip--` `distribute-lft-out--` `unswap-sqr`

Counts

4 → 81

Calls

4 calls:

42.0ms	(* (fma (/ m v) (- 1 m) -1) (- 1 m))
0.0ms	(fma (/ m v) (- 1 m) -1)
0.0ms	(fma (/ m v) (- 1 m) -1)
1.0ms	(fma (- (sqrt m)) (sqrt m) m)

series262.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(* (fma (/ m v) (- 1 m) -1) (- 1 m))
31.0ms	(fma (/ m v) (- 1 m) -1)
30.0ms	(fma (/ m v) (- 1 m) -1)
153.0ms	(fma (- (sqrt m)) (sqrt m) m)

simplify3.1s

Counts

93 → 93

Iterations

Iter	Nodes
3	3199
2	804
1	283
0	144

prune1.1s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ (fma (sqrt m) (* (- 1 m) (/ (sqrt m) v)) -1) 0) (- 1 m))
0.0b	(* (- 1 m) (/ (sqrt m) v))
0.2b	(fma (sqrt m) (* (- 1 m) (/ (sqrt m) v)) -1)
0.3b	(/ (sqrt m) v)

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

63×	`add-sqr-sqrt`
55×	`*-un-lft-identity`
47×	`add-cube-cbrt`
38×	`times-frac`
28×	`associate-r`
22×	`sqrt-prod`
18×	`prod-diff`
13×	`add-cbrt-cube` `add-exp-log`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`associate-l`
8×	`pow1`
6×	`frac-times` `associate-/l*`
5×	`flip3--` `flip--`
4×	`expm1-log1p-u` `associate-*l/` `insert-posit16` `log1p-expm1-u` `add-log-exp` `difference-of-squares` `unswap-sqr`
3×	`associate-/r` `flip3-+` `prod-exp` `associate-r/` `cbrt-unprod` `flip-+`
2×	`cbrt-undiv` `sub-neg` `div-exp` `pow-prod-down` `*-commutative` `div-inv` `distribute-lft-out--`
1×	`clear-num` `frac-2neg` `fma-udef` `distribute-lft-out`

Counts

4 → 160

Calls

4 calls:

50.0ms	(* (+ (fma (sqrt m) (* (- 1 m) (/ (sqrt m) v)) -1) 0) (- 1 m))
42.0ms	(* (- 1 m) (/ (sqrt m) v))
1.0ms	(fma (sqrt m) (* (- 1 m) (/ (sqrt m) v)) -1)
10.0ms	(/ (sqrt m) v)

series486.0ms

Counts

4 → 12

Calls

4 calls:

117.0ms	(* (+ (fma (sqrt m) (* (- 1 m) (/ (sqrt m) v)) -1) 0) (- 1 m))
164.0ms	(* (- 1 m) (/ (sqrt m) v))
113.0ms	(fma (sqrt m) (* (- 1 m) (/ (sqrt m) v)) -1)
93.0ms	(/ (sqrt m) v)

simplify1.6s

Counts

172 → 172

Iterations

Iter	Nodes
2	2133
1	742
0	279

prune1.8s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes78.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
2	9
1	9
0	8

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.4s	13819×	body	80	valid
1.0s	13819×	pre	80	true