Details

sample181.0ms

Algorithm

intervals

Results

30.0ms	453×	body	80	valid
16.0ms	453×	pre	80	true

simplify1.8s

Counts: 1 → 1

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize33.0ms

Local error

Found 4 expressions with local error:

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

rewrite167.0ms

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:

Slowest

70.0ms	(* (- (/ (* m (- 1 m)) v) 1) (- 1 m))
38.0ms	(/ (* m (- 1 m)) v)
31.0ms	(- (/ (* m (- 1 m)) v) 1)
24.0ms	(* m (- 1 m))

series164.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

67.0ms	(/ (* m (- 1 m)) v)
47.0ms	(* m (- 1 m))
32.0ms	(* (- (/ (* m (- 1 m)) v) 1) (- 1 m))
18.0ms	(- (/ (* m (- 1 m)) v) 1)

simplify962.0ms

Counts: 194 → 194

prune1.8s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

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

rewrite397.0ms

Algorithm

rewrite-expression-head

Rules

66×	`add-sqr-sqrt`
61×	`*-un-lft-identity`
54×	`prod-diff`
47×	`add-cube-cbrt`
32×	`distribute-rgt-in` `distribute-lft-in`
22×	`add-cbrt-cube` `add-exp-log` `sqrt-prod`
20×	`associate-r` `associate-*r/`
13×	`pow1`
12×	`frac-times` `flip3--` `flip--`
11×	`associate-l`
8×	`prod-exp` `cbrt-unprod` `difference-of-squares` `associate-/l/`
7×	`flip3-+` `flip-+`
6×	`associate-*l/`
5×	`pow-prod-down`
4×	`expm1-log1p-u` `sub-neg` `insert-posit16` `log1p-expm1-u` `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` `difference-of-sqr-1` `div-inv` `associate-/l*`

Counts

4 → 194

Calls

4 calls:

Slowest

225.0ms	(* (- (/ (* (* m (+ 1 (sqrt m))) (- 1 (sqrt m))) v) 1) (- 1 m))
77.0ms	(/ (* (* m (+ 1 (sqrt m))) (- 1 (sqrt m))) v)
73.0ms	(* (* m (+ 1 (sqrt m))) (- 1 (sqrt m)))
15.0ms	(* m (+ 1 (sqrt m)))

series523.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

204.0ms	(/ (* (* m (+ 1 (sqrt m))) (- 1 (sqrt m))) v)
193.0ms	(* (* m (+ 1 (sqrt m))) (- 1 (sqrt m)))
67.0ms	(* m (+ 1 (sqrt m)))
59.0ms	(* (- (/ (* (* m (+ 1 (sqrt m))) (- 1 (sqrt m))) v) 1) (- 1 m))

simplify1.7s

Counts: 206 → 206

prune2.6s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite175.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 165

Calls

4 calls:

Slowest

101.0ms	(* (- (* m (/ (- 1 m) v)) 1) (- 1 m))
24.0ms	(/ (- 1 m) v)
24.0ms	(- (* m (/ (- 1 m) v)) 1)
21.0ms	(* m (/ (- 1 m) v))

series160.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

56.0ms	(/ (- 1 m) v)
38.0ms	(* m (/ (- 1 m) v))
36.0ms	(* (- (* m (/ (- 1 m) v)) 1) (- 1 m))
30.0ms	(- (* m (/ (- 1 m) v)) 1)

simplify843.0ms

Counts: 177 → 177

prune1.7s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.1b	(cbrt (- 1 m))
0.1b	(cbrt (- 1 m))
0.1b	(cbrt (- 1 m))
0.1b	(* (cbrt (- 1 m)) (cbrt (- 1 m)))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

50×	`cbrt-prod`
44×	`add-sqr-sqrt`
42×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
14×	`difference-of-squares`
11×	`pow1` `swap-sqr`
9×	`flip3--` `pow1/3` `associate-r` `associate-l` `flip--` `distribute-lft-out--`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 119

Calls

4 calls:

Slowest

53.0ms	(* (cbrt (- 1 m)) (cbrt (- 1 m)))
15.0ms	(cbrt (- 1 m))
7.0ms	(cbrt (- 1 m))
6.0ms	(cbrt (- 1 m))

series243.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

71.0ms	(cbrt (- 1 m))
62.0ms	(cbrt (- 1 m))
55.0ms	(* (cbrt (- 1 m)) (cbrt (- 1 m)))
55.0ms	(cbrt (- 1 m))

simplify1.8s

Counts: 131 → 131

prune1.5s

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes155.0ms

Accuracy

0% (0.1b remaining)

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

bsearch3.0ms

end0.0ms

sample2.2s

Algorithm

intervals

Results

1.4s	13728×	body	80	valid
583.0ms	13728×	pre	80	true