Details

sample132.0ms

Algorithm

intervals

Results

31.0ms

259×

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.4b

localize23.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (+ t1 u) (+ t1 u))
17.4b	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

rewrite54.0ms

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:

32.0ms	(* (+ t1 u) (+ t1 u))
18.0ms	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

series151.0ms

Counts

2 → 6

Calls

2 calls:

19.0ms	(* (+ t1 u) (+ t1 u))
132.0ms	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

simplify604.0ms

Counts

82 → 82

Iterations

Iter	Nodes
2	2026
1	421
0	118

prune789.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ v (+ t1 u))
0.0b	(/ (- t1) (+ t1 u))
0.8b	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

rewrite94.0ms

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:

17.0ms	(/ v (+ t1 u))
19.0ms	(/ (- t1) (+ t1 u))
51.0ms	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

series275.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(/ v (+ t1 u))
57.0ms	(/ (- t1) (+ t1 u))
168.0ms	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

simplify5.9s

Counts

210 → 210

Iterations

Iter	Nodes
3	7619
2	1953
1	637
0	222

prune1.9s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- t1) (+ t1 u))
0.8b	(/ (* (/ (- t1) (+ t1 u)) v) (+ t1 u))
2.9b	(* (/ (- t1) (+ t1 u)) v)

rewrite77.0ms

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×	`expm1-log1p-u` `flip3-+` `associate-r` `flip-+` `insert-posit16` `log1p-expm1-u` `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 → 174

Calls

3 calls:

20.0ms	(/ (- t1) (+ t1 u))
28.0ms	(/ (* (/ (- t1) (+ t1 u)) v) (+ t1 u))
20.0ms	(* (/ (- t1) (+ t1 u)) v)

series356.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(/ (- t1) (+ t1 u))
178.0ms	(/ (* (/ (- t1) (+ t1 u)) v) (+ t1 u))
120.0ms	(* (/ (- t1) (+ t1 u)) v)

simplify12.2s

Counts

183 → 183

Iterations

Iter	Nodes
3	5751
2	1441
1	514
0	201

prune1.6s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.8b	(/ (* (* (cbrt (/ (- t1) (+ t1 u))) (cbrt (/ (- t1) (+ t1 u)))) (* (cbrt (/ (- t1) (+ t1 u))) v)) (+ t1 u))
8.1b	(cbrt (/ (- t1) (+ t1 u)))
8.1b	(cbrt (/ (- t1) (+ t1 u)))
8.1b	(cbrt (/ (- t1) (+ t1 u)))

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

139×	`*-un-lft-identity`
138×	`cbrt-prod`
124×	`times-frac`
75×	`add-sqr-sqrt` `add-cube-cbrt`
36×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
32×	`distribute-lft-out`
22×	`add-exp-log`
16×	`add-cbrt-cube`
15×	`cbrt-div`
12×	`neg-mul-1`
9×	`associate-*l/`
8×	`prod-exp` `associate-/r/` `cbrt-unprod`
7×	`associate-/l/`
5×	`frac-times` `cbrt-undiv` `div-exp`
4×	`expm1-log1p-u` `pow1` `associate-/r*` `flip3-+` `flip-+` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`pow1/3` `associate-*r/`
1×	`clear-num` `frac-2neg` `associate-/l*`

Counts

4 → 215

Calls

4 calls:

72.0ms	(/ (* (* (cbrt (/ (- t1) (+ t1 u))) (cbrt (/ (- t1) (+ t1 u)))) (* (cbrt (/ (- t1) (+ t1 u))) v)) (+ t1 u))
4.0ms	(cbrt (/ (- t1) (+ t1 u)))
6.0ms	(cbrt (/ (- t1) (+ t1 u)))
8.0ms	(cbrt (/ (- t1) (+ t1 u)))

series1.1s

Counts

4 → 12

Calls

4 calls:

262.0ms	(/ (* (* (cbrt (/ (- t1) (+ t1 u))) (cbrt (/ (- t1) (+ t1 u)))) (* (cbrt (/ (- t1) (+ t1 u))) v)) (+ t1 u))
248.0ms	(cbrt (/ (- t1) (+ t1 u)))
308.0ms	(cbrt (/ (- t1) (+ t1 u)))
270.0ms	(cbrt (/ (- t1) (+ t1 u)))

simplify4.1s

Counts

227 → 227

Iterations

Iter	Nodes
3	7691
2	1599
1	498
0	227

prune2.9s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes134.0ms

Accuracy

0% (1.2b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
5	21
4	21
3	19
2	16
1	12
0	8

end0.0ms

sample1.1s

Algorithm

intervals

Results

831.0ms

8283×

body

valid