Details

sample85.0ms

Algorithm

intervals

Results

60.0ms

256×

body

valid

simplify1.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5004
6	1775
5	497
4	205
3	109
2	50
1	25
0	13

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.7b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* (/ t z) y) 2.0)
0.0b	(- z (/ (* (/ t z) y) 2.0))
3.9b	(* (/ t z) y)
6.1b	(/ y (- z (/ (* (/ t z) y) 2.0)))

rewrite250.0ms

Algorithm

rewrite-expression-head

Rules

184×	`add-sqr-sqrt`
163×	`times-frac`
99×	`*-un-lft-identity`
89×	`add-cube-cbrt`
65×	`associate-l`
32×	`associate-/l*`
20×	`add-cbrt-cube` `add-exp-log` `difference-of-squares` `unswap-sqr`
18×	`associate-*l/`
17×	`associate-/r*`
15×	`associate-r`
9×	`associate-/l/`
7×	`div-inv`
6×	`pow1` `cbrt-undiv` `div-exp` `add-log-exp`
5×	`*-commutative` `distribute-lft-out--`
4×	`clear-num` `frac-2neg` `prod-exp` `cbrt-unprod` `insert-posit16`
2×	`flip3--` `associate-/r/` `flip--`
1×	`sub-neg` `diff-log` `pow-prod-down`

Counts

4 → 230

Calls

4 calls:

45.0ms	(/ (* (/ t z) y) 2.0)
49.0ms	(- z (/ (* (/ t z) y) 2.0))
17.0ms	(* (/ t z) y)
124.0ms	(/ y (- z (/ (* (/ t z) y) 2.0)))

series365.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(/ (* (/ t z) y) 2.0)
50.0ms	(- z (/ (* (/ t z) y) 2.0))
36.0ms	(* (/ t z) y)
245.0ms	(/ y (- z (/ (* (/ t z) y) 2.0)))

simplify2.1s

Counts

242 → 242

Iterations

Iter	Nodes
done	5001
2	2709
1	877
0	360

prune1.3s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.7b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (/ y (/ z t)) 2.0)
0.0b	(- z (/ (/ y (/ z t)) 2.0))
4.0b	(/ y (/ z t))
6.1b	(/ y (- z (/ (/ y (/ z t)) 2.0)))

rewrite278.0ms

Algorithm

rewrite-expression-head

Rules

558×	`times-frac`
340×	`add-sqr-sqrt`
280×	`*-un-lft-identity`
270×	`add-cube-cbrt`
76×	`associate-/l*`
52×	`associate-/r*`
47×	`associate-/r/`
24×	`div-inv`
20×	`add-cbrt-cube` `add-exp-log` `difference-of-squares`
19×	`associate-/l/`
10×	`cbrt-undiv` `div-exp`
9×	`clear-num` `frac-2neg`
6×	`add-log-exp`
5×	`distribute-lft-out--`
4×	`pow1` `insert-posit16`
2×	`flip3--` `flip--`
1×	`sub-neg` `diff-log`

Counts

4 → 394

Calls

4 calls:

32.0ms	(/ (/ y (/ z t)) 2.0)
75.0ms	(- z (/ (/ y (/ z t)) 2.0))
19.0ms	(/ y (/ z t))
127.0ms	(/ y (- z (/ (/ y (/ z t)) 2.0)))

series405.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(/ (/ y (/ z t)) 2.0)
47.0ms	(- z (/ (/ y (/ z t)) 2.0))
36.0ms	(/ y (/ z t))
272.0ms	(/ y (- z (/ (/ y (/ z t)) 2.0)))

simplify2.9s

Counts

406 → 406

Iterations

Iter	Nodes
done	5000
2	4607
1	1552
0	629

prune2.5s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.7b

localize35.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
0.5b	(- (* (* z 2.0) z) (* y t))
19.8b	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

rewrite992.0ms

Algorithm

rewrite-expression-head

Rules

736×	`add-sqr-sqrt`
456×	`associate-l`
396×	`*-un-lft-identity`
333×	`times-frac`
283×	`unswap-sqr`
148×	`difference-of-squares`
145×	`distribute-lft-out--`
106×	`add-cube-cbrt`
96×	`associate-r`
32×	`*-commutative`
22×	`associate-/l*`
15×	`associate-/r*`
12×	`add-cbrt-cube` `add-exp-log`
7×	`add-log-exp`
3×	`pow1` `cbrt-undiv` `flip3--` `div-exp` `prod-exp` `cbrt-unprod` `insert-posit16` `flip--`
2×	`sub-neg` `diff-log` `associate-/r/`
1×	`clear-num` `frac-2neg` `div-inv`

Counts

3 → 429

Calls

3 calls:

455.0ms	(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
192.0ms	(- (* (* z 2.0) z) (* y t))
309.0ms	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

series531.0ms

Counts

3 → 9

Calls

3 calls:

158.0ms	(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
58.0ms	(- (* (* z 2.0) z) (* y t))
314.0ms	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

simplify2.8s

Counts

438 → 438

Iterations

Iter	Nodes
done	5027
2	4201
1	1287
0	529

prune1.9s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.7b

localize66.0ms

Local error

Found 4 expressions with local error:

4.5b	(/ y (* (cbrt (- (* (* z 2.0) z) (* y t))) (cbrt (- (* (* z 2.0) z) (* y t)))))
22.9b	(cbrt (- (* (* z 2.0) z) (* y t)))
22.9b	(cbrt (- (* (* z 2.0) z) (* y t)))
22.9b	(cbrt (- (* (* z 2.0) z) (* y t)))

rewrite2.0s

Algorithm

rewrite-expression-head

Rules

1001×	`*-un-lft-identity`
675×	`associate-l`
637×	`cbrt-prod`
580×	`add-sqr-sqrt`
402×	`distribute-lft-out--`
315×	`times-frac`
240×	`swap-sqr`
187×	`unswap-sqr`
149×	`add-cube-cbrt`
114×	`difference-of-squares`
105×	`associate-/r*`
72×	`associate-r`
18×	`cbrt-div`
14×	`add-cbrt-cube`
9×	`flip3--` `add-exp-log` `flip--`
8×	`associate-/r/`
5×	`cbrt-undiv`
4×	`frac-times` `pow1` `*-commutative` `cbrt-unprod` `insert-posit16` `add-log-exp`
3×	`pow1/3` `associate-/l*`
2×	`div-exp` `associate-l/` `associate-r/`
1×	`clear-num` `frac-2neg` `prod-exp` `div-inv`

Counts

4 → 527

Calls

4 calls:

1.5s	(/ y (* (cbrt (- (* (* z 2.0) z) (* y t))) (cbrt (- (* (* z 2.0) z) (* y t)))))
93.0ms	(cbrt (- (* (* z 2.0) z) (* y t)))
142.0ms	(cbrt (- (* (* z 2.0) z) (* y t)))
129.0ms	(cbrt (- (* (* z 2.0) z) (* y t)))

series911.0ms

Counts

4 → 12

Calls

4 calls:

385.0ms	(/ y (* (cbrt (- (* (* z 2.0) z) (* y t))) (cbrt (- (* (* z 2.0) z) (* y t)))))
151.0ms	(cbrt (- (* (* z 2.0) z) (* y t)))
206.0ms	(cbrt (- (* (* z 2.0) z) (* y t)))
169.0ms	(cbrt (- (* (* z 2.0) z) (* y t)))

simplify3.1s

Counts

539 → 539

Iterations

Iter	Nodes
done	5001
2	2458
1	1179
0	465

prune2.2s

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.7b

regimes426.0ms

Accuracy

0% (0.6b remaining)

Error of 1.0b against oracle of 0.5b and baseline of 1.0b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	11
0	11

end0.0ms

sample1.8s

Algorithm

intervals

Results

1.4s

8000×

body

valid