Details

sample137.0ms

Algorithm

intervals

Results

75.0ms

269×

body

valid

simplify1.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	2002
11	1306
10	538
9	373
8	319
7	285
6	269
5	223
4	188
3	122
2	63
1	25
0	8

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.9b

localize32.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (+ t1 u) (+ t1 u))
18.9b	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 72

Calls

2 calls:

31.0ms	(* (+ t1 u) (+ t1 u))
46.0ms	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

series122.0ms

Counts

2 → 6

Calls

2 calls:

16.0ms	(* (+ t1 u) (+ t1 u))
106.0ms	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

simplify767.0ms

Counts

78 → 78

Iterations

Iter	Nodes
done	2000
2	1948
1	419
0	114

prune248.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- t1) (+ t1 u))
0.0b	(/ v (+ t1 u))
1.0b	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

125×	`*-un-lft-identity`
108×	`times-frac`
81×	`add-sqr-sqrt`
69×	`add-cube-cbrt`
46×	`associate-l`
28×	`distribute-lft-out`
27×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
19×	`add-cbrt-cube` `add-exp-log`
18×	`associate-r`
13×	`associate-/l*`
9×	`neg-mul-1`
8×	`associate-/r*` `associate-/r/`
6×	`cbrt-undiv` `div-exp`
5×	`pow1`
4×	`flip3-+` `prod-exp` `cbrt-unprod` `flip-+` `div-inv` `unswap-sqr`
3×	`insert-posit16` `add-log-exp`
2×	`clear-num` `frac-2neg` `distribute-frac-neg`
1×	`distribute-lft-neg-out` `neg-sub0` `frac-times` `div-sub` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`

Counts

3 → 195

Calls

3 calls:

18.0ms	(/ (- t1) (+ t1 u))
15.0ms	(/ v (+ t1 u))
65.0ms	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

series255.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(/ (- t1) (+ t1 u))
33.0ms	(/ v (+ t1 u))
168.0ms	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

simplify552.0ms

Counts

204 → 204

Iterations

Iter	Nodes
done	2001
1	647
0	216

prune787.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ v (+ t1 u))
0.0b	(/ 1 (+ t1 u))
0.1b	(* (- t1) (/ 1 (+ t1 u)))
1.0b	(* (* (- t1) (/ 1 (+ t1 u))) (/ v (+ t1 u)))

rewrite133.0ms

Algorithm

rewrite-expression-head

Rules

70×	`*-un-lft-identity`
54×	`add-exp-log`
50×	`times-frac`
48×	`add-sqr-sqrt`
41×	`add-cube-cbrt`
36×	`associate-r`
34×	`add-cbrt-cube`
22×	`prod-exp`
14×	`div-exp` `distribute-lft-out`
12×	`pow1` `cbrt-unprod`
11×	`associate-l`
8×	`cbrt-undiv` `associate-/r*` `associate-/r/`
6×	`associate-/l*`
4×	`rec-exp` `flip3-+` `1-exp` `pow-prod-down` `associate-*r/` `flip-+` `insert-posit16` `div-inv` `add-log-exp`
3×	`distribute-lft-neg-out` `distribute-lft-neg-in` `distribute-rgt-neg-in` `un-div-inv` `unswap-sqr`
2×	`frac-times` `clear-num` `frac-2neg` `associate-l/` `-commutative`
1×	`neg-mul-1` `pow-flip` `inv-pow`

Counts

4 → 174

Calls

4 calls:

8.0ms	(/ v (+ t1 u))
9.0ms	(/ 1 (+ t1 u))
29.0ms	(* (- t1) (/ 1 (+ t1 u)))
84.0ms	(* (* (- t1) (/ 1 (+ t1 u))) (/ v (+ t1 u)))

series365.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(/ v (+ t1 u))
49.0ms	(/ 1 (+ t1 u))
57.0ms	(* (- t1) (/ 1 (+ t1 u)))
214.0ms	(* (* (- t1) (/ 1 (+ t1 u))) (/ v (+ t1 u)))

simplify563.0ms

Counts

186 → 186

Iterations

Iter	Nodes
done	2000
1	562
0	193

prune722.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ t1 (+ u t1))
0.5b	(/ (* v (- (/ t1 (+ u t1)))) (+ t1 u))
2.5b	(* v (- (/ t1 (+ u t1))))

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

56×	`*-un-lft-identity`
40×	`times-frac` `associate-r`
34×	`add-sqr-sqrt`
32×	`add-cube-cbrt`
18×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
12×	`add-cbrt-cube` `add-exp-log` `distribute-lft-out`
8×	`associate-/r*` `associate-/r/`
5×	`pow1`
4×	`flip3-+` `flip-+` `div-inv` `associate-/l*`
3×	`cbrt-undiv` `div-exp` `associate-l` `insert-posit16` `add-log-exp`
2×	`clear-num` `frac-2neg` `prod-exp` `associate-*r/` `distribute-rgt-neg-out` `cbrt-unprod` `distribute-neg-frac`
1×	`neg-mul-1` `pow-prod-down` `distribute-frac-neg` `*-commutative` `unswap-sqr` `associate-/l/`

Counts

3 → 120

Calls

3 calls:

15.0ms	(/ t1 (+ u t1))
42.0ms	(/ (* v (- (/ t1 (+ u t1)))) (+ t1 u))
49.0ms	(* v (- (/ t1 (+ u t1))))

series173.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(/ t1 (+ u t1))
82.0ms	(/ (* v (- (/ t1 (+ u t1)))) (+ t1 u))
38.0ms	(* v (- (/ t1 (+ u t1))))

simplify775.0ms

Counts

129 → 129

Iterations

Iter	Nodes
done	2002
2	1697
1	476
0	176

prune550.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes153.0ms

Accuracy

0% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.2b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	21
3	21
2	20
1	14
0	9

end0.0ms

sample1.3s

Algorithm

intervals

Results

861.0ms

8272×

body

valid