Details

sample300.0ms

Algorithm

intervals

Results

70.0ms

265×

body

valid

simplify10.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
12	4196
11	1500
10	683
9	461
8	399
7	365
6	329
5	270
4	221
3	134
2	65
1	25
0	8

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.3b

localize110.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (+ t1 u) (+ t1 u))
18.0b	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

rewrite207.0ms

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:

114.0ms	(* (+ t1 u) (+ t1 u))
86.0ms	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

series202.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(* (+ t1 u) (+ t1 u))
180.0ms	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

simplify3.9s

Counts

82 → 82

Iterations

Iter	Nodes
done	5053
2	1994
1	428
0	118

prune1.0s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize79.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- t1) (+ t1 u))
0.0b	(/ v (+ t1 u))
2.0b	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

rewrite312.0ms

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:

64.0ms	(/ (- t1) (+ t1 u))
51.0ms	(/ v (+ t1 u))
171.0ms	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

series420.0ms

Counts

3 → 9

Calls

3 calls:

67.0ms	(/ (- t1) (+ t1 u))
70.0ms	(/ v (+ t1 u))
284.0ms	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

simplify4.9s

Counts

210 → 210

Iterations

Iter	Nodes
done	5001
2	2453
1	656
0	222

prune2.4s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize96.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ v (+ t1 u))
0.3b	(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
7.9b	(* (- t1) (/ v (+ t1 u)))

rewrite276.0ms

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:

52.0ms	(/ v (+ t1 u))
101.0ms	(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
107.0ms	(* (- t1) (/ v (+ t1 u)))

series325.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(/ v (+ t1 u))
152.0ms	(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
133.0ms	(* (- t1) (/ v (+ t1 u)))

simplify4.0s

Counts

125 → 125

Iterations

Iter	Nodes
done	5006
2	1536
1	411
0	145

prune1.5s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize236.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (/ (- (* (cbrt t1) (cbrt t1))) (* (cbrt (+ t1 u)) (cbrt (+ t1 u)))) (* (/ (cbrt t1) (cbrt (+ t1 u))) (/ v (+ t1 u))))
0.6b	(cbrt t1)
0.6b	(cbrt t1)
0.6b	(cbrt t1)

rewrite475.0ms

Algorithm

rewrite-expression-head

Rules

73×	`add-exp-log`
51×	`add-cbrt-cube`
32×	`prod-exp` `cbrt-unprod`
22×	`cbrt-undiv` `div-exp`
18×	`associate-l`
12×	`cbrt-div`
9×	`cbrt-prod` `add-sqr-sqrt` `frac-times` `pow1` `*-un-lft-identity` `add-cube-cbrt`
8×	`associate-/r/`
7×	`associate-*r/`
6×	`flip3-+` `times-frac` `flip-+`
5×	`associate-*l/`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `pow-prod-down`
1×	`distribute-lft-neg-out` `distribute-lft-neg-in` `neg-mul-1` `distribute-rgt-neg-in` `associate-r` `distribute-frac-neg` `*-commutative` `div-inv`

Counts

4 → 112

Calls

4 calls:

447.0ms	(* (/ (- (* (cbrt t1) (cbrt t1))) (* (cbrt (+ t1 u)) (cbrt (+ t1 u)))) (* (/ (cbrt t1) (cbrt (+ t1 u))) (/ v (+ t1 u))))
3.0ms	(cbrt t1)
3.0ms	(cbrt t1)
3.0ms	(cbrt t1)

series1.2s

Counts

4 → 12

Calls

4 calls:

271.0ms	(* (/ (- (* (cbrt t1) (cbrt t1))) (* (cbrt (+ t1 u)) (cbrt (+ t1 u)))) (* (/ (cbrt t1) (cbrt (+ t1 u))) (/ v (+ t1 u))))
314.0ms	(cbrt t1)
318.0ms	(cbrt t1)
307.0ms	(cbrt t1)

simplify5.0s

Counts

124 → 124

Iterations

Iter	Nodes
done	5000
2	2363
1	554
0	176

prune1.3s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes784.0ms

Accuracy

0% (1.3b remaining)

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

bsearch0.0ms

simplify11.0ms

Iterations

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

end0.0ms

sample1.1s

Algorithm

intervals

Results

688.0ms

8278×

body

valid