Details

sample122.0ms

Algorithm

intervals

Results

34.0ms

267×

body

valid

simplify11.5s

Counts

1 → 1

Iterations

Iter	Nodes
12	5243
11	1284
10	681
9	461
8	399
7	365
6	329
5	270
4	221
3	134
2	65
1	25
0	8

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.3b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (+ t1 u) (+ t1 u))
18.3b	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

rewrite91.0ms

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×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `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 → 76

Calls

2 calls:

56.0ms	(* (+ t1 u) (+ t1 u))
30.0ms	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

series161.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(* (+ t1 u) (+ t1 u))
135.0ms	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

simplify551.0ms

Counts

82 → 82

Iterations

Iter	Nodes
2	2026
1	421
0	118

prune727.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ v (+ t1 u))
0.0b	(/ (- t1) (+ t1 u))
1.7b	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

rewrite104.0ms

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×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `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 → 201

Calls

3 calls:

19.0ms	(/ v (+ t1 u))
19.0ms	(/ (- t1) (+ t1 u))
63.0ms	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

series279.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(/ v (+ t1 u))
63.0ms	(/ (- t1) (+ t1 u))
171.0ms	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

simplify5.2s

Counts

210 → 210

Iterations

Iter	Nodes
3	7619
2	1953
1	637
0	222

prune1.9s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ v (+ t1 u))
0.5b	(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
8.6b	(* (- t1) (/ v (+ t1 u)))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

43×	`*-un-lft-identity`
30×	`add-sqr-sqrt`
29×	`times-frac`
25×	`add-cube-cbrt`
19×	`add-cbrt-cube` `add-exp-log`
18×	`associate-r`
10×	`associate-l`
9×	`distribute-lft-out`
8×	`associate-/r*`
6×	`cbrt-undiv` `div-exp` `associate-/r/`
5×	`pow1`
4×	`prod-exp` `cbrt-unprod` `associate-/l*`
3×	`distribute-lft-neg-in` `expm1-log1p-u` `distribute-rgt-neg-in` `flip3-+` `flip-+` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`distribute-lft-neg-out` `clear-num` `frac-2neg` `associate-*r/` `unswap-sqr`
1×	`neg-mul-1` `pow-prod-down` `distribute-frac-neg` `*-commutative` `associate-/l/`

Counts

3 → 116

Calls

3 calls:

8.0ms	(/ v (+ t1 u))
21.0ms	(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
18.0ms	(* (- t1) (/ v (+ t1 u)))

series227.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(/ v (+ t1 u))
95.0ms	(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
98.0ms	(* (- t1) (/ v (+ t1 u)))

simplify4.2s

Counts

125 → 125

Iterations

Iter	Nodes
3	5726
2	1293
1	406
0	145

prune1.1s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (+ t1 u))
0.0b	(/ (- t1) (+ t1 u))
0.6b	(* (* (/ (- t1) (+ t1 u)) v) (/ 1 (+ t1 u)))
3.6b	(* (/ (- t1) (+ t1 u)) v)

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

127×	`*-un-lft-identity`
105×	`times-frac`
76×	`add-sqr-sqrt`
71×	`add-cube-cbrt`
54×	`add-exp-log`
47×	`associate-l`
34×	`add-cbrt-cube`
28×	`distribute-lft-out`
27×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
22×	`prod-exp`
21×	`associate-r`
14×	`div-exp`
13×	`associate-/l*`
12×	`pow1` `cbrt-unprod`
9×	`neg-mul-1`
8×	`cbrt-undiv` `associate-/r*` `associate-/r/`
4×	`expm1-log1p-u` `rec-exp` `flip3-+` `1-exp` `pow-prod-down` `associate-*l/` `flip-+` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`distribute-lft-neg-out` `distribute-frac-neg`
2×	`clear-num` `frac-2neg` `*-commutative` `unswap-sqr`
1×	`neg-sub0` `frac-times` `div-sub` `associate-*r/` `un-div-inv` `pow-flip` `inv-pow`

Counts

4 → 237

Calls

4 calls:

8.0ms	(/ 1 (+ t1 u))
11.0ms	(/ (- t1) (+ t1 u))
52.0ms	(* (* (/ (- t1) (+ t1 u)) v) (/ 1 (+ t1 u)))
29.0ms	(* (/ (- t1) (+ t1 u)) v)

series419.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(/ 1 (+ t1 u))
74.0ms	(/ (- t1) (+ t1 u))
180.0ms	(* (* (/ (- t1) (+ t1 u)) v) (/ 1 (+ t1 u)))
104.0ms	(* (/ (- t1) (+ t1 u)) v)

simplify21.9s

Counts

249 → 249

Iterations

Iter	Nodes
3	7258
2	1935
1	662
0	253

prune2.2s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes178.0ms

Accuracy

0% (1.4b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 1.4b

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
4	21
3	21
2	18
1	12
0	8

end0.0ms

sample1.0s

Algorithm

intervals

Results

780.0ms

8254×

body

valid