Details

sample38.0ms

Algorithm

intervals

Results

11.0ms	254×	body	80	valid
2.0ms	14×	body	640	valid
2.0ms	7×	body	1280	valid
1.0ms	15×	body	160	valid
1.0ms	8×	body	320	valid

simplify2.1s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	13
1	20	13
2	45	13
3	111	13
4	292	13
5	864	13
6	3373	13
done	5000	13

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.7b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- y x) (- z t))
3.7b	(+ x (/ (* (- y x) (- z t)) (- a t)))
16.3b	(/ (* (- y x) (- z t)) (- a t))

rewrite135.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 81

Calls

3 calls:

53.0ms	(* (- y x) (- z t))
21.0ms	(+ x (/ (* (- y x) (- z t)) (- a t)))
58.0ms	(/ (* (- y x) (- z t)) (- a t))

series499.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(* (- y x) (- z t))
288.0ms	(+ x (/ (* (- y x) (- z t)) (- a t)))
159.0ms	(/ (* (- y x) (- z t)) (- a t))

simplify2.0s

Counts

90 → 90

Iterations

Useful iterations: 2 (354.0ms)

Iter	Nodes	Cost
0	162	1284
1	480	1213
2	2662	1111
done	5000	1111

prune423.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 3.8b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) (- z t))
2.2b	(/ (- y x) (/ (- a t) (- z t)))
3.7b	(+ x (/ (- y x) (/ (- a t) (- z t))))

rewrite278.0ms

Algorithm

rewrite-expression-head

Rules

330×	`times-frac`
323×	`*-un-lft-identity`
321×	`add-sqr-sqrt`
113×	`add-cube-cbrt`
104×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
15×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
9×	`flip3--` `flip--`
8×	`div-inv`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
3×	`pow1` `div-sub`
2×	`frac-2neg` `clear-num`
1×	`+-commutative` `associate-+r-` `flip3-+` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 274

Calls

3 calls:

35.0ms	(/ (- a t) (- z t))
54.0ms	(/ (- y x) (/ (- a t) (- z t)))
166.0ms	(+ x (/ (- y x) (/ (- a t) (- z t))))

series577.0ms

Counts

3 → 9

Calls

3 calls:

75.0ms	(/ (- a t) (- z t))
306.0ms	(/ (- y x) (/ (- a t) (- z t)))
196.0ms	(+ x (/ (- y x) (/ (- a t) (- z t))))

simplify521.0ms

Counts

283 → 283

Iterations

Useful iterations: done (509.0ms)

Iter	Nodes	Cost
0	354	5984
1	1152	5679
done	5001	5493

prune837.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 3.7b

localize35.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- z t))
0.6b	(cbrt (- z t))
0.6b	(cbrt (- z t))
3.7b	(+ x (* (/ (* (cbrt (- z t)) (cbrt (- z t))) (* (cbrt (- a t)) (cbrt (- a t)))) (/ (- y x) (/ (cbrt (- a t)) (cbrt (- z t))))))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

15×	`cbrt-prod`
13×	`add-sqr-sqrt` `*-un-lft-identity`
7×	`add-cube-cbrt`
6×	`cbrt-div` `add-log-exp`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--` `difference-of-squares`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+`

Counts

4 → 56

Calls

4 calls:

4.0ms	(cbrt (- z t))
4.0ms	(cbrt (- z t))
4.0ms	(cbrt (- z t))
7.0ms	(+ x (* (/ (* (cbrt (- z t)) (cbrt (- z t))) (* (cbrt (- a t)) (cbrt (- a t)))) (/ (- y x) (/ (cbrt (- a t)) (cbrt (- z t))))))

series877.0ms

Counts

4 → 12

Calls

4 calls:

206.0ms	(cbrt (- z t))
184.0ms	(cbrt (- z t))
218.0ms	(cbrt (- z t))
269.0ms	(+ x (* (/ (* (cbrt (- z t)) (cbrt (- z t))) (* (cbrt (- a t)) (cbrt (- a t)))) (/ (- y x) (/ (cbrt (- a t)) (cbrt (- z t))))))

simplify870.0ms

Counts

68 → 68

Iterations

Useful iterations: done (867.0ms)

Iter	Nodes	Cost
0	108	1234
1	265	1187
2	877	1093
done	5000	890

prune418.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 3.7b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z t) (- a t))
1.9b	(* (- y x) (/ (- z t) (- a t)))
3.7b	(+ x (* (- y x) (/ (- z t) (- a t))))

rewrite137.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 119

Calls

3 calls:

40.0ms	(/ (- z t) (- a t))
77.0ms	(* (- y x) (/ (- z t) (- a t)))
11.0ms	(+ x (* (- y x) (/ (- z t) (- a t))))

series531.0ms

Counts

3 → 9

Calls

3 calls:

69.0ms	(/ (- z t) (- a t))
181.0ms	(* (- y x) (/ (- z t) (- a t)))
281.0ms	(+ x (* (- y x) (/ (- z t) (- a t))))

simplify1.8s

Counts

128 → 128

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	183	1813
1	504	1716
2	2628	1612
done	5000	1606

prune417.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 3.7b

regimes359.0ms

Accuracy

1% (7.6b remaining)

Error of 11.4b against oracle of 3.8b and baseline of 11.5b

bsearch34.0ms

Steps

Iters	Range		Point
5	2.0029258804612433e+198	6.8967761933267e+198	6.764694878676553e+198

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	40
1	22	40
done	22	40

end0.0ms

sample1.4s

Algorithm

intervals

Results

622.0ms	7734×	body	80	valid
125.0ms	264×	body	1280	valid
86.0ms	479×	body	640	valid
55.0ms	411×	body	320	valid
25.0ms	271×	body	160	valid
5.0ms	17×	body	2560	valid