Details

sample22.0ms

Algorithm

intervals

Results

11.0ms

277×

body

valid

simplify144.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	10	11
1	20	9
2	46	9
3	87	9
4	131	9
5	176	9
6	214	9
7	232	9
8	235	9
done	235	9

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.2b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
18×	`*-un-lft-identity` `prod-diff`
16×	`add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
11×	`distribute-rgt-in` `distribute-lft-in`
5×	`associate-r` `prod-exp` `cbrt-unprod`
4×	`pow1` `cbrt-undiv` `associate-*r/` `div-exp`
3×	`associate-l`
2×	`expm1-log1p-u` `sub-neg` `flip3--` `associate-/r/` `flip--` `log1p-expm1-u` `add-log-exp`
1×	`frac-2neg` `times-frac` `pow-prod-down` `clear-num` `associate-/r` `-commutative` `div-inv` `associate-/l*` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 71

Calls

2 calls:

11.0ms	(* z (- y t))
6.0ms	(/ (* x 2.0) (* z (- y t)))

series82.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(* z (- y t))
47.0ms	(/ (* x 2.0) (* z (- y t)))

simplify529.0ms

Counts

77 → 77

Iterations

Useful iterations: 2 (148.0ms)

Iter	Nodes	Cost
0	145	1080
1	327	905
2	1444	681
done	5001	681

prune136.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* z (/ (- y t) 2.0))
5.9b	(/ x (* z (/ (- y t) 2.0)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
20×	`*-un-lft-identity`
19×	`times-frac` `associate-r`
16×	`add-exp-log` `add-cbrt-cube`
14×	`add-cube-cbrt`
5×	`cbrt-undiv` `div-exp`
4×	`pow1` `prod-exp` `cbrt-unprod`
3×	`associate-l` `associate-/l*` `distribute-lft-out--` `difference-of-squares`
2×	`expm1-log1p-u` `associate-*r/` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `pow-prod-down` `clear-num` `associate-/r` `associate-/r/` `-commutative`

Counts

2 → 66

Calls

2 calls:

14.0ms	(* z (/ (- y t) 2.0))
6.0ms	(/ x (* z (/ (- y t) 2.0)))

series97.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(* z (/ (- y t) 2.0))
47.0ms	(/ x (* z (/ (- y t) 2.0)))

simplify617.0ms

Counts

72 → 72

Iterations

Useful iterations: 2 (96.0ms)

Iter	Nodes	Cost
0	125	793
1	301	754
2	1173	634
done	5000	634

prune152.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt x)
0.5b	(cbrt x)
0.5b	(cbrt x)
4.7b	(* (/ (* (cbrt x) (cbrt x)) z) (/ (cbrt x) (/ (- y t) 2.0)))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

224×	`times-frac`
170×	`add-sqr-sqrt`
138×	`*-un-lft-identity`
119×	`associate-r`
102×	`add-cube-cbrt`
70×	`cbrt-prod`
40×	`add-exp-log`
28×	`add-cbrt-cube`
18×	`distribute-lft-out--` `difference-of-squares`
15×	`cbrt-undiv` `div-exp`
12×	`prod-exp` `cbrt-unprod`
10×	`unswap-sqr`
8×	`div-inv`
7×	`associate-l`
6×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `associate-/r/` `*-commutative`

Counts

4 → 207

Calls

4 calls:

0.0ms	(cbrt x)
0.0ms	(cbrt x)
1.0ms	(cbrt x)
62.0ms	(* (/ (* (cbrt x) (cbrt x)) z) (/ (cbrt x) (/ (- y t) 2.0)))

series626.0ms

Counts

4 → 12

Calls

4 calls:

190.0ms	(cbrt x)
182.0ms	(cbrt x)
177.0ms	(cbrt x)
76.0ms	(* (/ (* (cbrt x) (cbrt x)) z) (/ (cbrt x) (/ (- y t) 2.0)))

simplify650.0ms

Counts

219 → 219

Iterations

Useful iterations: done (644.0ms)

Iter	Nodes	Cost
0	346	3827
1	1140	3547
done	5001	3187

prune595.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt x)
0.6b	(cbrt (* (cbrt x) (cbrt x)))
0.6b	(cbrt (cbrt x))
4.7b	(* (/ (* (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x))) (cbrt x)) z) (/ (cbrt x) (/ (- y t) 2.0)))

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

213×	`times-frac`
154×	`add-sqr-sqrt`
138×	`*-un-lft-identity`
119×	`associate-r`
102×	`add-cube-cbrt`
72×	`cbrt-prod`
58×	`add-exp-log`
38×	`add-cbrt-cube`
21×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
18×	`distribute-lft-out--` `difference-of-squares`
8×	`div-inv`
7×	`associate-l`
6×	`pow1`
5×	`unswap-sqr`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `associate-/r/` `*-commutative`

Counts

4 → 209

Calls

4 calls:

0.0ms	(cbrt x)
3.0ms	(cbrt (* (cbrt x) (cbrt x)))
1.0ms	(cbrt (cbrt x))
91.0ms	(* (/ (* (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x))) (cbrt x)) z) (/ (cbrt x) (/ (- y t) 2.0)))

series794.0ms

Counts

4 → 12

Calls

4 calls:

179.0ms	(cbrt x)
284.0ms	(cbrt (* (cbrt x) (cbrt x)))
254.0ms	(cbrt (cbrt x))
77.0ms	(* (/ (* (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x))) (cbrt x)) z) (/ (cbrt x) (/ (- y t) 2.0)))

simplify484.0ms

Counts

221 → 221

Iterations

Useful iterations: 1 (230.0ms)

Iter	Nodes	Cost
0	396	5447
1	1258	5154
done	5001	5154

prune694.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes244.0ms

Accuracy

49.4% (2.7b remaining)

Error of 2.8b against oracle of 0.0b and baseline of 5.4b

bsearch1.0ms

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	20	43
1	28	33
done	28	33

end0.0ms

sample499.0ms

Algorithm

intervals

Results

287.0ms

8741×

body

valid