Details

sample156.0ms

Algorithm

intervals

Results

32.0ms

261×

body

valid

simplify2.2s

Counts

1 → 1

Iterations

Iter	Nodes
12	4343
11	1059
10	528
9	362
8	308
7	274
6	264
5	221
4	188
3	122
2	63
1	25
0	8

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.1b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (+ t1 u) (+ t1 u))
19.1b	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

rewrite57.0ms

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:

29.0ms	(* (+ t1 u) (+ t1 u))
24.0ms	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

series159.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(* (+ t1 u) (+ t1 u))
133.0ms	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

simplify6.6s

Counts

78 → 78

Iterations

Iter	Nodes
3	14728
2	1969
1	413
0	114

prune681.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- t1) (+ t1 u))
0.0b	(/ v (+ t1 u))
1.5b	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

rewrite53.0ms

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:

9.0ms	(/ (- t1) (+ t1 u))
8.0ms	(/ v (+ t1 u))
34.0ms	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

series290.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(/ (- t1) (+ t1 u))
34.0ms	(/ v (+ t1 u))
201.0ms	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

simplify3.0s

Counts

204 → 204

Iterations

Iter	Nodes
3	7511
2	1915
1	628
0	216

prune1.8s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize29.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- t1) (+ t1 u))
0.5b	(/ (* (/ (- t1) (+ t1 u)) v) (+ t1 u))
3.9b	(* (/ (- t1) (+ t1 u)) v)

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 168

Calls

3 calls:

9.0ms	(/ (- t1) (+ t1 u))
27.0ms	(/ (* (/ (- t1) (+ t1 u)) v) (+ t1 u))
39.0ms	(* (/ (- t1) (+ t1 u)) v)

series337.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(/ (- t1) (+ t1 u))
195.0ms	(/ (* (/ (- t1) (+ t1 u)) v) (+ t1 u))
92.0ms	(* (/ (- t1) (+ t1 u)) v)

simplify2.4s

Counts

177 → 177

Iterations

Iter	Nodes
3	6272
2	1430
1	503
0	195

prune1.4s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- t1) (+ t1 u))
0.6b	(* (* (/ (- t1) (+ t1 u)) v) (/ 1 (+ t1 u)))
3.9b	(* (/ (- t1) (+ t1 u)) v)

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

109×	`*-un-lft-identity`
93×	`times-frac`
66×	`add-sqr-sqrt`
61×	`add-cube-cbrt`
49×	`add-exp-log`
47×	`associate-l`
31×	`add-cbrt-cube`
27×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
24×	`distribute-lft-out`
22×	`prod-exp`
21×	`associate-r`
12×	`div-exp` `cbrt-unprod`
10×	`pow1` `associate-/l*`
9×	`neg-mul-1`
7×	`cbrt-undiv`
6×	`associate-/r/`
4×	`associate-/r` `pow-prod-down` `associate-l/`
3×	`distribute-lft-neg-out` `rec-exp` `flip3-+` `1-exp` `distribute-frac-neg` `flip-+` `insert-posit16` `div-inv` `add-log-exp`
2×	`*-commutative` `unswap-sqr`
1×	`neg-sub0` `frac-times` `clear-num` `frac-2neg` `div-sub` `associate-*r/` `un-div-inv`

Counts

3 → 191

Calls

3 calls:

20.0ms	(/ (- t1) (+ t1 u))
49.0ms	(* (* (/ (- t1) (+ t1 u)) v) (/ 1 (+ t1 u)))
22.0ms	(* (/ (- t1) (+ t1 u)) v)

series393.0ms

Counts

3 → 9

Calls

3 calls:

79.0ms	(/ (- t1) (+ t1 u))
177.0ms	(* (* (/ (- t1) (+ t1 u)) v) (/ 1 (+ t1 u)))
137.0ms	(* (/ (- t1) (+ t1 u)) v)

simplify4.6s

Counts

200 → 200

Iterations

Iter	Nodes
3	8016
2	1860
1	645
0	234

prune1.8s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes174.0ms

Accuracy

0% (1.1b remaining)

Error of 1.2b against oracle of 0.1b and baseline of 1.2b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
3	13
2	13
1	11
0	8

end0.0ms

sample1.5s

Algorithm

intervals

Results

1.2s

8269×

body

valid