Details

sample206.0ms

Algorithm

intervals

Results

31.0ms

261×

body

valid

simplify3.8s

Counts

1 → 1

Iterations

Iter	Nodes
12	4770
11	1244
10	664
9	443
8	381
7	347
6	321
5	268
4	221
3	134
2	65
1	25
0	8

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.9b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (+ t1 u) (+ t1 u))
17.9b	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

rewrite95.0ms

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:

47.0ms	(* (+ t1 u) (+ t1 u))
44.0ms	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

series162.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(* (+ t1 u) (+ t1 u))
136.0ms	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

simplify549.0ms

Counts

82 → 82

Iterations

Iter	Nodes
2	2016
1	421
0	118

prune789.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 2 expressions with local error:

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

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

76×	`*-un-lft-identity`
68×	`times-frac`
54×	`add-sqr-sqrt`
46×	`associate-l`
42×	`add-cube-cbrt`
18×	`associate-r`
17×	`distribute-lft-out`
16×	`add-cbrt-cube` `add-exp-log`
12×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
6×	`associate-/r/`
5×	`cbrt-undiv` `div-exp`
4×	`pow1` `associate-/r*` `neg-mul-1` `prod-exp` `cbrt-unprod` `unswap-sqr`
3×	`flip3-+` `flip-+` `div-inv` `associate-/l*`
2×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`distribute-lft-neg-out` `frac-times` `clear-num` `frac-2neg` `pow-prod-down` `associate-l/` `associate-r/` `distribute-frac-neg` `*-commutative`

Counts

2 → 128

Calls

2 calls:

13.0ms	(/ v (+ t1 u))
41.0ms	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

series212.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(/ v (+ t1 u))
179.0ms	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

simplify2.8s

Counts

134 → 134

Iterations

Iter	Nodes
3	6260
2	1701
1	522
0	177

prune1.2s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ v (+ t1 u))
0.5b	(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
6.8b	(* (- t1) (/ v (+ t1 u)))

rewrite58.0ms

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:

16.0ms	(/ v (+ t1 u))
19.0ms	(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
20.0ms	(* (- t1) (/ v (+ t1 u)))

series213.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(/ v (+ t1 u))
87.0ms	(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
98.0ms	(* (- t1) (/ v (+ t1 u)))

simplify2.3s

Counts

125 → 125

Iterations

Iter	Nodes
3	6154
2	1302
1	407
0	145

prune1.2s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ v (+ t1 u))
0.6b	(/ (+ t1 u) (* (- t1) (/ v (+ t1 u))))
0.6b	(/ 1 (/ (+ t1 u) (* (- t1) (/ v (+ t1 u)))))
6.8b	(* (- t1) (/ v (+ t1 u)))

rewrite126.0ms

Algorithm

rewrite-expression-head

Rules

72×	`times-frac`
70×	`*-un-lft-identity`
54×	`add-exp-log`
49×	`add-sqr-sqrt`
44×	`add-cube-cbrt`
34×	`add-cbrt-cube`
26×	`div-exp`
18×	`associate-r`
14×	`cbrt-undiv` `associate-/r*`
13×	`distribute-lft-out`
10×	`associate-l` `prod-exp` `associate-/r/` `associate-/l*`
8×	`div-inv`
7×	`pow1`
6×	`associate-*r/` `cbrt-unprod`
4×	`expm1-log1p-u` `rec-exp` `1-exp` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`distribute-lft-neg-in` `clear-num` `distribute-rgt-neg-in` `frac-2neg` `flip3-+` `flip-+`
2×	`unswap-sqr` `associate-/l/`
1×	`distribute-lft-neg-out` `neg-mul-1` `pow-prod-down` `*-commutative` `pow-flip` `inv-pow`

Counts

4 → 186

Calls

4 calls:

8.0ms	(/ v (+ t1 u))
39.0ms	(/ (+ t1 u) (* (- t1) (/ v (+ t1 u))))
52.0ms	(/ 1 (/ (+ t1 u) (* (- t1) (/ v (+ t1 u)))))
24.0ms	(* (- t1) (/ v (+ t1 u)))

series358.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(/ v (+ t1 u))
45.0ms	(/ (+ t1 u) (* (- t1) (/ v (+ t1 u))))
186.0ms	(/ 1 (/ (+ t1 u) (* (- t1) (/ v (+ t1 u)))))
93.0ms	(* (- t1) (/ v (+ t1 u)))

simplify582.0ms

Counts

198 → 198

Iterations

Iter	Nodes
2	2022
1	631
0	238

prune1.8s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes249.0ms

Accuracy

0% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch0.0ms

simplify7.0ms

Iterations

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

end0.0ms

sample1.2s

Algorithm

intervals

Results

946.0ms

8258×

body

valid