Details

sample44.0ms

Algorithm

intervals

Results

19.0ms	249×	body	80	valid
5.0ms	16×	body	640	valid
2.0ms	7×	body	1280	valid
2.0ms	11×	body	320	valid
2.0ms	13×	body	160	valid

simplify749.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	2001
6	1598
5	656
4	266
3	103
2	43
1	20
0	11

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 23.0b

localize30.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- y x) (- z t))
4.0b	(+ x (/ (* (- y x) (- z t)) (- a t)))
16.2b	(/ (* (- y x) (- z t)) (- a t))

rewrite125.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt` `*-un-lft-identity`
13×	`flip3--` `flip--`
10×	`add-cbrt-cube` `add-exp-log`
8×	`frac-times` `associate-/l/`
7×	`add-cube-cbrt`
5×	`pow1` `associate-/r` `times-frac` `associate-r` `associate-l*` `add-log-exp`
4×	`associate-l/` `associate-r/` `distribute-lft-out--` `difference-of-squares`
3×	`insert-posit16`
2×	`distribute-rgt-in` `cbrt-undiv` `sub-neg` `distribute-lft-in` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `pow-prod-down` `-commutative` `flip-+` `div-inv` `distribute-lft-out` `associate-/l` `unswap-sqr`

Counts

3 → 84

Calls

3 calls:

48.0ms	(* (- y x) (- z t))
28.0ms	(+ x (/ (* (- y x) (- z t)) (- a t)))
47.0ms	(/ (* (- y x) (- z t)) (- a t))

series428.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(* (- y x) (- z t))
203.0ms	(+ x (/ (* (- y x) (- z t)) (- a t)))
179.0ms	(/ (* (- y x) (- z t)) (- a t))

simplify603.0ms

Counts

93 → 93

Iterations

Iter	Nodes
done	2002
2	1910
1	483
0	165

prune339.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 3.3b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z t) (- a t))
3.3b	(* (- y x) (/ (- z t) (- a t)))
4.0b	(+ x (* (- y x) (/ (- z t) (- a t))))

rewrite66.0ms

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-cbrt-cube` `add-exp-log`
5×	`pow1` `associate-/r` `flip3--` `associate-l` `flip--` `associate-/l` `add-log-exp`
4×	`associate-/r/`
3×	`insert-posit16`
2×	`frac-times` `cbrt-undiv` `div-exp` `associate-*l/` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr` `associate-/l/`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `div-sub` `pow-prod-down` `associate-r/` `-commutative` `flip-+`

Counts

3 → 122

Calls

3 calls:

17.0ms	(/ (- z t) (- a t))
39.0ms	(* (- y x) (/ (- z t) (- a t)))
7.0ms	(+ x (* (- y x) (/ (- z t) (- a t))))

series373.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(/ (- z t) (- a t))
136.0ms	(* (- y x) (/ (- z t) (- a t)))
185.0ms	(+ x (* (- y x) (/ (- z t) (- a t))))

simplify718.0ms

Counts

131 → 131

Iterations

Iter	Nodes
done	2002
2	1734
1	507
0	186

prune551.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 3.3b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (- a t))
0.2b	(* (- z t) (/ 1 (- a t)))
3.3b	(* (- y x) (* (- z t) (/ 1 (- a t))))
5.2b	(+ x (* (- y x) (* (- z t) (/ 1 (- a t)))))

rewrite124.0ms

Algorithm

rewrite-expression-head

Rules

50×	`add-sqr-sqrt`
44×	`*-un-lft-identity`
32×	`times-frac` `add-exp-log`
25×	`add-cube-cbrt`
22×	`associate-r`
20×	`frac-times` `add-cbrt-cube`
17×	`flip3--` `flip--`
13×	`prod-exp`
12×	`pow1`
10×	`associate-l` `associate-l/` `associate-r/`
9×	`distribute-lft-out--` `difference-of-squares`
7×	`cbrt-unprod`
6×	`div-exp` `add-log-exp`
5×	`associate-/r*`
4×	`pow-prod-down` `associate-/r/` `un-div-inv` `insert-posit16`
3×	`cbrt-undiv` `rec-exp` `1-exp` `associate-/l*` `unswap-sqr`
2×	`*-commutative` `div-inv`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `flip-+` `pow-flip` `inv-pow`

Counts

4 → 150

Calls

4 calls:

11.0ms	(/ 1 (- a t))
41.0ms	(* (- z t) (/ 1 (- a t)))
60.0ms	(* (- y x) (* (- z t) (/ 1 (- a t))))
10.0ms	(+ x (* (- y x) (* (- z t) (/ 1 (- a t)))))

series482.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(/ 1 (- a t))
64.0ms	(* (- z t) (/ 1 (- a t)))
155.0ms	(* (- y x) (* (- z t) (/ 1 (- a t))))
211.0ms	(+ x (* (- y x) (* (- z t) (/ 1 (- a t)))))

simplify481.0ms

Counts

162 → 162

Iterations

Iter	Nodes
done	2003
1	616
0	225

prune693.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 3.3b

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) (- z t))
3.5b	(/ (- y x) (/ (- a t) (- z t)))
4.0b	(+ x (/ (- y x) (/ (- a t) (- z t))))

rewrite97.0ms

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-cbrt-cube` `add-exp-log` `associate-/l*`
9×	`flip3--` `flip--`
8×	`div-inv`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
3×	`pow1` `div-sub` `insert-posit16`
2×	`clear-num` `frac-2neg`
1×	`+-commutative` `associate-+r-` `sum-log` `flip3-+` `flip-+` `distribute-lft-out`

Counts

3 → 277

Calls

3 calls:

23.0ms	(/ (- a t) (- z t))
26.0ms	(/ (- y x) (/ (- a t) (- z t)))
40.0ms	(+ x (/ (- y x) (/ (- a t) (- z t))))

series544.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(/ (- a t) (- z t))
268.0ms	(/ (- y x) (/ (- a t) (- z t)))
219.0ms	(+ x (/ (- y x) (/ (- a t) (- z t))))

simplify672.0ms

Counts

286 → 286

Iterations

Iter	Nodes
done	2001
1	1153
0	357

prune1.0s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 2.8b

regimes452.0ms

Accuracy

6.1% (6.8b remaining)

Error of 11.3b against oracle of 4.5b and baseline of 11.7b

bsearch62.0ms

Steps

Iters	Range		Point
10	-1.4974058032627534e+254	-6.165071786140764e+243	-5.3888449508600594e+250

simplify3.0ms

Iterations

Iter	Nodes
done	21
1	21
0	16

end0.0ms

sample2.0s

Algorithm

intervals

Results

718.0ms	7784×	body	80	valid
605.0ms	489×	body	640	valid
144.0ms	419×	body	320	valid
128.0ms	259×	body	1280	valid
44.0ms	268×	body	160	valid
7.0ms	14×	body	2560	valid