Details

sample35.0ms

Algorithm

intervals

Results

14.0ms

282×

body

valid

simplify14.0ms

Counts: 1 → 1

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 7.3b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(* z (- y t))
0.4b	(/ (* z (- y t)) 2.0)
7.0b	(/ x (/ (* z (- y t)) 2.0))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

36×	`times-frac`
27×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
23×	`add-cube-cbrt`
19×	`add-exp-log` `add-cbrt-cube`
10×	`associate-/r*`
7×	`cbrt-undiv` `div-exp`
6×	`div-inv`
5×	`pow1` `associate-r`
4×	`associate-r/` `associate-/l`
3×	`associate-l` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`distribute-rgt-in` `sub-neg` `flip3--` `frac-2neg` `distribute-lft-in` `clear-num` `flip--` `associate-/l/`
1×	`pow-prod-down` `associate-/r/` `*-commutative` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 97

Calls

3 calls:

32.0ms	(* z (- y t))
17.0ms	(/ (* z (- y t)) 2.0)
19.0ms	(/ x (/ (* z (- y t)) 2.0))

series185.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(* z (- y t))
82.0ms	(/ (* z (- y t)) 2.0)
56.0ms	(/ x (/ (* z (- y t)) 2.0))

simplify35.0ms

Counts: 106 → 106

prune342.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ x (/ (- y t) 2.0))
5.8b	(* (/ 1 z) (/ x (/ (- y t) 2.0)))

rewrite150.0ms

Algorithm

rewrite-expression-head

Rules

243×	`times-frac`
184×	`add-sqr-sqrt`
157×	`*-un-lft-identity`
112×	`add-cube-cbrt`
62×	`associate-r`
46×	`add-exp-log`
28×	`add-cbrt-cube`
21×	`div-exp` `distribute-lft-out--` `difference-of-squares`
19×	`associate-/r*`
13×	`associate-l`
12×	`cbrt-undiv` `prod-exp`
10×	`div-inv`
9×	`unswap-sqr`
6×	`cbrt-unprod`
4×	`pow1`
3×	`rec-exp` `1-exp` `associate-/l*`
2×	`associate-/r/` `add-log-exp`
1×	`frac-times` `frac-2neg` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `*-commutative`

Counts

2 → 208

Calls

2 calls:

31.0ms	(/ x (/ (- y t) 2.0))
92.0ms	(* (/ 1 z) (/ x (/ (- y t) 2.0)))

series477.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(/ x (/ (- y t) 2.0))
432.0ms	(* (/ 1 z) (/ x (/ (- y t) 2.0)))

simplify100.0ms

Counts: 214 → 214

prune728.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ x (/ (- y t) 2.0))
5.7b	(/ (/ x (/ (- y t) 2.0)) z)

rewrite115.0ms

Algorithm

rewrite-expression-head

Rules

711×	`times-frac`
405×	`add-sqr-sqrt` `*-un-lft-identity`
309×	`add-cube-cbrt`
65×	`associate-/l*`
48×	`distribute-lft-out--` `difference-of-squares`
22×	`associate-/r*` `div-inv`
16×	`add-exp-log` `add-cbrt-cube`
9×	`cbrt-undiv` `div-exp`
5×	`associate-/r/`
2×	`pow1` `frac-2neg` `clear-num` `add-log-exp`
1×	`associate-/l/`

Counts

2 → 362

Calls

2 calls:

23.0ms	(/ x (/ (- y t) 2.0))
63.0ms	(/ (/ x (/ (- y t) 2.0)) z)

series161.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(/ x (/ (- y t) 2.0))
111.0ms	(/ (/ x (/ (- y t) 2.0)) z)

simplify89.0ms

Counts: 368 → 368

prune1.2s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ x (/ (- y t) 2.0))
1.1b	(/ (/ 1 1) (/ z (/ x (/ (- y t) 2.0))))
5.4b	(/ z (/ x (/ (- y t) 2.0)))

rewrite828.0ms

Algorithm

rewrite-expression-head

Rules

11810×	`times-frac`
5362×	`add-sqr-sqrt` `*-un-lft-identity`
4510×	`add-cube-cbrt`
426×	`distribute-lft-out--` `difference-of-squares`
397×	`div-inv`
272×	`associate-/r*`
111×	`add-exp-log`
95×	`div-exp`
63×	`associate-/r/`
49×	`add-cbrt-cube`
33×	`cbrt-undiv`
20×	`1-exp`
19×	`associate-/l*`
8×	`rec-exp`
3×	`pow1` `frac-2neg` `clear-num` `add-log-exp`
1×	`associate-/l/`

Counts

3 → 3097

Calls

3 calls:

22.0ms	(/ x (/ (- y t) 2.0))
162.0ms	(/ (/ 1 1) (/ z (/ x (/ (- y t) 2.0))))
27.0ms	(/ z (/ x (/ (- y t) 2.0)))

series249.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(/ x (/ (- y t) 2.0))
70.0ms	(/ (/ 1 1) (/ z (/ x (/ (- y t) 2.0))))
123.0ms	(/ z (/ x (/ (- y t) 2.0)))

simplify645.0ms

Counts: 3106 → 3106

prune8.3s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes230.0ms

Accuracy

-1.5% (5.6b remaining)

Error of 5.6b against oracle of 0.0b and baseline of 5.5b

bsearch51.0ms

Steps

Iters	Range		Point
5	2.27234986379416e-63	6.547492396598833e-63	6.435280610456954e-63
4	-7.309363090668678e+96	-3.871091081291134e+96	-4.549970434470263e+96

simplify6.8s

end0.0ms

sample1.1s

Algorithm

intervals

Results

566.0ms

8717×

body

valid