Details

sample22.0ms

Algorithm

intervals

Results

9.0ms

342×

body

valid

simplify3.1s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	9
1	14	9
2	25	9
3	44	9
4	74	9
5	102	9
6	120	9
7	140	9
8	181	9
9	257	9
10	343	9
11	380	9
12	431	9
13	466	9
14	502	9
15	592	9
16	822	9
17	1106	9
18	1653	9
19	2133	9
20	2187	9
done	2187	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.1b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(* y (- z x))
0.0b	(+ x (/ (* y (- z x)) t))
7.3b	(/ (* y (- z x)) t)

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 61

Calls

3 calls:

9.0ms	(* y (- z x))
4.0ms	(+ x (/ (* y (- z x)) t))
6.0ms	(/ (* y (- z x)) t)

series137.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(* y (- z x))
40.0ms	(+ x (/ (* y (- z x)) t))
54.0ms	(/ (* y (- z x)) t)

simplify2.1s

Counts

70 → 70

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	113	722
1	290	679
2	854	589
3	3872	589
done	5001	588

prune160.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (/ (- z x) (/ t y)))
7.1b	(/ (- z x) (/ t y))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

119×	`times-frac`
88×	`*-un-lft-identity`
86×	`add-sqr-sqrt`
58×	`add-cube-cbrt`
14×	`distribute-lft-out--` `difference-of-squares`
13×	`associate-/r*`
7×	`add-exp-log` `add-cbrt-cube` `div-inv`
5×	`associate-/l*`
4×	`add-log-exp`
3×	`cbrt-undiv` `div-exp`
2×	`pow1` `div-sub` `associate-/l/`
1×	`+-commutative` `associate-+r-` `flip3--` `frac-2neg` `flip3-+` `clear-num` `sum-log` `associate-/r/` `flip--` `flip-+` `distribute-lft-out`

Counts

2 → 114

Calls

2 calls:

29.0ms	(+ x (/ (- z x) (/ t y)))
10.0ms	(/ (- z x) (/ t y))

series90.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(+ x (/ (- z x) (/ t y)))
48.0ms	(/ (- z x) (/ t y))

simplify853.0ms

Counts

120 → 120

Iterations

Useful iterations: 2 (294.0ms)

Iter	Nodes	Cost
0	217	1896
1	604	1758
2	1816	1680
done	5001	1680

prune292.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt t)
0.5b	(* (cbrt t) (cbrt t))
1.3b	(/ (- z x) (/ (cbrt t) y))
4.7b	(* (/ 1 (* (cbrt t) (cbrt t))) (/ (- z x) (/ (cbrt t) y)))

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

444×	`times-frac`
337×	`add-sqr-sqrt`
298×	`*-un-lft-identity`
204×	`add-cube-cbrt`
121×	`cbrt-prod` `associate-r`
89×	`add-exp-log`
45×	`distribute-lft-out--` `difference-of-squares`
36×	`div-exp`
35×	`add-cbrt-cube`
31×	`prod-exp`
22×	`associate-/r*`
18×	`cbrt-undiv`
16×	`unswap-sqr`
14×	`div-inv`
13×	`pow1` `associate-l` `cbrt-unprod`
7×	`pow1/3`
6×	`rec-exp` `1-exp` `swap-sqr`
5×	`associate-/l*`
4×	`add-log-exp`
3×	`pow-prod-down`
2×	`associate-/r/` `pow-sqr` `*-commutative` `pow-prod-up` `associate-/l/`
1×	`pow2` `frac-times` `flip3--` `frac-2neg` `pow-plus` `div-sub` `associate-r/` `associate-l/` `clear-num` `flip--`

Counts

4 → 382

Calls

4 calls:

0.0ms	(cbrt t)
5.0ms	(* (cbrt t) (cbrt t))
12.0ms	(/ (- z x) (/ (cbrt t) y))
72.0ms	(* (/ 1 (* (cbrt t) (cbrt t))) (/ (- z x) (/ (cbrt t) y)))

series699.0ms

Counts

4 → 12

Calls

4 calls:

187.0ms	(cbrt t)
215.0ms	(* (cbrt t) (cbrt t))
201.0ms	(/ (- z x) (/ (cbrt t) y))
94.0ms	(* (/ 1 (* (cbrt t) (cbrt t))) (/ (- z x) (/ (cbrt t) y)))

simplify929.0ms

Counts

394 → 394

Iterations

Useful iterations: done (917.0ms)

Iter	Nodes	Cost
0	496	7167
1	1622	6011
done	5000	5743

prune1.0s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z x) t)
0.0b	(+ x (* y (/ (- z x) t)))
6.6b	(* y (/ (- z x) t))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 87

Calls

3 calls:

7.0ms	(/ (- z x) t)
2.0ms	(+ x (* y (/ (- z x) t)))
17.0ms	(* y (/ (- z x) t))

series124.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(/ (- z x) t)
43.0ms	(+ x (* y (/ (- z x) t)))
52.0ms	(* y (/ (- z x) t))

simplify1.6s

Counts

96 → 96

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	137	1051
1	343	980
2	945	914
3	3359	890
done	5000	889

prune208.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes136.0ms

Accuracy

30.5% (1.5b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 2.1b

bsearch90.0ms

Steps

Iters	Range		Point
9	1.6447297697938876e+26	3.5957949368944354e+31	2.9560956140306957e+26
9	-4.099996582881451e+41	-1.4795547208826837e+34	-1.6177021719067535e+36

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	20	39
1	27	31
done	27	31

end0.0ms

sample572.0ms

Algorithm

intervals

Results

292.0ms

10580×

body

valid